56428800 has 108 divisors (see below), whose sum is σ = 186290160. Its totient is φ = 15042560.

The previous prime is 56428789. The next prime is 56428829. The reversal of 56428800 is 882465.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17731 + ... + 20669.

Almost surely, 2^56428800 is an apocalyptic number.

56428800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56428800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93145080).

56428800 is an abundant number, since it is smaller than the sum of its proper divisors (129861360).

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

56428800 is a wasteful number, since it uses less digits than its factorization.

56428800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2968 (or 2949 counting only the distinct ones).

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

The square root of 56428800 is about 7511.9105425983. The cubic root of 56428800 is about 383.5602605113.

The spelling of 56428800 in words is "fifty-six million, four hundred twenty-eight thousand, eight hundred".