28800900 has 72 divisors (see below), whose sum is σ = 92598240. Its totient is φ = 7679520.

The previous prime is 28800883. The next prime is 28800913. The reversal of 28800900 is 900882.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2634 + ... + 8033.

Almost surely, 2^28800900 is an apocalyptic number.

28800900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

28800900 is an abundant number, since it is smaller than the sum of its proper divisors (63797340).

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

28800900 is a wasteful number, since it uses less digits than its factorization.

28800900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10690 (or 10677 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 28800900 is about 5366.6469978936. The cubic root of 28800900 is about 306.5269658801.

The spelling of 28800900 in words is "twenty-eight million, eight hundred thousand, nine hundred".