28 (number)


28 is the natural number following 27 and preceding 29.

In mathematics

It is a composite number, its proper divisors being 1, 2, 4, 7, and 14.
Twenty-eight is the second perfect number. As a perfect number, it is related to the Mersenne prime 7, since 2 = 28. The next perfect number is 496, the previous being 6.
Twenty-eight is the sum of the totient function for the first nine integers.
Since the greatest prime factor of 282 + 1 = 785 is 157, which is more than 28 twice, 28 is a Størmer number.
Twenty-eight is a harmonic divisor number, a happy number, a triangular number, a hexagonal number, and a centered nonagonal number.
It appears in the Padovan sequence, preceded by the terms 12, 16, 21.
It is also a Keith number, because it recurs in a Fibonacci-like sequence started from its base 10 digits: 2, 8, 10, 18, 28...
Twenty-eight is the third positive integer with a prime factorization of the form 2q where q is an odd prime.
Twenty-eight is the ninth and last number in early Indian magic square of order 3.
There are twenty-eight convex uniform honeycombs.
Twenty-eight is the only positive integer that has a unique Kayles nim-value.
Twenty-eight is the only known number which can be expressed as a sum of the first non negative integers, a sum of the first primes and a sum of the first non primes and there is probably no other number with this property.
There are 28 oriented diffeomorphism classes of manifolds homeomorphic to the 7-sphere.

In science

Twenty-eight is: