28638792900 has 81 divisors (see below), whose sum is σ = 89782621383. Its totient is φ = 7635657600.

The previous prime is 28638792887. The next prime is 28638792901. The reversal of 28638792900 is 929783682.

It is a happy number.

The square root of 28638792900 is 169230.

It is a perfect power (a square), and thus also a powerful number.

28638792900 is a `hidden beast` number, since 286 + 3 + 8 + 79 + 290 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7492979844 + 21145813056 = 86562^2 + 145416^2 .

It is not an unprimeable number, because it can be changed into a prime (28638792901) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5074080 + ... + 5079720.

Almost surely, 2^28638792900 is an apocalyptic number.

28638792900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

28638792900 is the 169230-th square number.

It is an amenable number.

28638792900 is an abundant number, since it is smaller than the sum of its proper divisors (61143828483).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

28638792900 is an equidigital number, since it uses as much as digits as its factorization.

28638792900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11302 (or 5651 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 28638792900 in words is "twenty-eight billion, six hundred thirty-eight million, seven hundred ninety-two thousand, nine hundred".