28800456 has 32 divisors (see below), whose sum is σ = 72316800. Its totient is φ = 9558080.

The previous prime is 28800413. The next prime is 28800461. The reversal of 28800456 is 65400882.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3226 + ... + 8246.

It is an arithmetic number, because the mean of its divisors is an integer number (2259900).

Almost surely, 2^28800456 is an apocalyptic number.

It is an amenable number.

28800456 is an abundant number, since it is smaller than the sum of its proper divisors (43516344).

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

28800456 is a wasteful number, since it uses less digits than its factorization.

28800456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5269 (or 5265 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 28800456 is about 5366.6056311229. The cubic root of 28800456 is about 306.5253907132.

The spelling of 28800456 in words is "twenty-eight million, eight hundred thousand, four hundred fifty-six".