28 (number)

28 (twenty-eight) is the natural number following 27 and preceding 29.

In mathematics

It is a

Twenty-eight is the second perfect number - it is the sum of its proper divisors: ${\displaystyle 1+2+4+7+14=28}$. As a perfect number, it is related to the Mersenne prime 7, since ${\displaystyle 2^{3-1}\times (2^{3}-1)=28}$. The next perfect number is

Though perfect, 28 is not the aliquot sum of any other number other than itself, and so; unusually, is not part of a multi-number aliquot sequence. The next perfect number is 496.

Twenty-eight is the sum of the

Since the greatest

prime factor

of ${\displaystyle 28^{2}+1=785}$ is 157, which is more than 28 twice, 28 is a

Twenty-eight is a harmonic divisor number,^[4] a happy number,^[5] a triangular number,^[6] a hexagonal number,^[7] a Leyland number of the second kind and a centered nonagonal number.^[8]

It appears in the Padovan sequence, preceded by the terms 12, 16, 21 (it is the sum of the first two of these).^[9]

It is also a

There are twenty-eight convex uniform honeycombs.

Twenty-eight is the only positive integer that has a unique

Twenty-eight is the only known number that can be expressed as a sum of the first nonnegative (or positive) integers (${\displaystyle 0+1+2+3+4+5+6+7}$), a sum of the first primes (${\displaystyle 2+3+5+7+11}$) and a sum of the first nonprimes (${\displaystyle 1+4+6+8+9}$), and it is unlikely that any other number has this property.^[11]

There are twenty-eight oriented diffeomorphism classes of manifolds homeomorphic to the 7-sphere.^{[citation needed]}

There are 28 elements of the

There are 28 non-equivalent ways of expressing 1000 as the sum of two prime numbers^[12]

The

28 is the smallest number that can be expressed as the sum of four nonzero squares in (at least) three ways: ${\displaystyle 5^{2}+1^{2}+1^{2}+1^{2}}$, ${\displaystyle 4^{2}+2^{2}+2^{2}+2^{2}}$ or ${\displaystyle 3^{2}+3^{2}+3^{2}+1^{2}}$ (see image).^[13][14]

In science

• The atomic mass of silicon.
• The atomic number of nickel.
• The fourth magic number in physics.
• The curing time of concrete is classically considered 28 days.
• The average human menstrual cycle is 28 days, although no link has been established with the nightlighting and the Moon.

Astronomy

• The rotation time of the surface of the Sun varies due to it being gas and plasma. At 45°, it rotates every 28 days.^[15]
• The Sun's surface gravity is 28 times that of Earth.
• magnitude 8.5 globular cluster in the constellation Sagittarius
  .
• The New General Catalogue object NGC 28, an elliptical galaxy in the constellation Phoenix.^[16]

In sports

• The number of players on the active roster of teams in Nippon Professional Baseball. However, each team is limited to using 25 players in a given game; before every game, the manager must designate three players who will be ineligible for that game.
• From 2020, the number of players on the active roster of Major League Baseball teams for regular-season games on or after September 1.

In other fields

Twenty-eight is:

• An abbreviation for such years as 1928 and 2028.
• The number of Hebrew letters in Genesis 1:1, the first verse of the Bible.
• The number of wheels on a Lockheed C-5 Galaxy.
• In the
  code for international direct dial
  phone calls, +28 is unassigned.
• 028 is the ISO 3166-1 numeric three-digit country code for Antigua and Barbuda.
• The number of days in the shortest
  common years
  . All twelve months of the Gregorian calendar have at least 28 days, regardless of the year.
• The Gregorian calendar follows a 28-year cycle for the most part, since there are seven days in a week and leap year generally occurs every four years; usually, a calendar from any year is the same as that from 28 years earlier (e.g., 1992 and 2020 or 1994 and 2022). However, that rule holds only when there have been exactly seven leap days in a 28-year interval; years divisible by 100 but not by 400 are common years. Indeed, 1900 (as well as 2100, 2200, etc.) does not use the same calendar as 1872 (2072, 2172, etc., respectively) for the simple reason that 1900 is a common year. In 28 years, any day-of-the-week and date combination occurs exactly four times. February 29 will fall on each day of the week once.
• In Jewish tradition there is a 28-year solar cycle in which the sun returns to its place in Creation every 28 solar years. This is commemorated in April every 28 years with the recitation of Birkat Hachama, the blessing of the sun.
• The common name for the parrot Barnardius zonarius semitorquatus, widely distributed in Western Australia and South Australia. Its call sounds like "wenniate".
• The number of letters in the
  Danish and Swedish alphabets (not counting W), and also in the Arabic and Esperanto alphabets
  .
• The number of Chinese constellations, "Xiu" or "mansions" (a literal translation), equivalent to the 12 western zodiac constellations.
• The number of dominoes in standard domino sets.
• Deriving from the 29.46 year period of
  sema
  ritual is called the "Devri kebir", meaning the "Big Circle" and is a reference to above astronomical facts about the year and the Saturn year.
• In
  Wheel of Fortune in which all of the letters picked by the contestant were present 28 times. As a result, 28 became an almost mythical number used by many Quebec youths, the phrase "Y'en a 28" (There are 28 [Letters]) became a running gag
  still used and recognized more than 15 years later.
• The
  Preludes, Opus 28 consists of Frédéric Chopin
  's 24 preludes for piano, ordinarily but not necessarily played together in concert.
• The postal code of the province of Madrid, in Spain.
• Twenty Eight is a popular game played in Kerala, India.
• The number of the French department Eure-et-Loir.
• Approximately the number of grams in an ounce, and used as such in the illegal drug trade.
• The
  UIC Country Code for Georgia identifying member countries of the International Union of Railways
  (UIC).
• The letter
  intermodal (shipping) containers as defined by ISO 6346
  .
• The name of a single on the Trilogy by The Weeknd.
• The name of the song on the album Strictly Diesel by Spineshank.^[17]
• The number of Panfilov's Guardsmen, said to have heroically fallen in combat on 16 November 1941 during the Battle of Moscow, and venerated as Soviet's national heroes.