56732800 has 48 divisors (see below), whose sum is σ = 140155650. Its totient is φ = 22691840.

The previous prime is 56732771. The next prime is 56732801. The reversal of 56732800 is 823765.

It can be written as a sum of positive squares in 3 ways, for example, as 46131264 + 10601536 = 6792^2 + 3256^2 .

It is a super-2 number, since 2×56732800² = 6437221191680000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (56732801) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5665 + ... + 12064.

Almost surely, 2^56732800 is an apocalyptic number.

56732800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

56732800 is an abundant number, since it is smaller than the sum of its proper divisors (83422850).

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

56732800 is a wasteful number, since it uses less digits than its factorization.

56732800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17753 (or 17736 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 31.

The square root of 56732800 is about 7532.1178960502. The cubic root of 56732800 is about 384.2478145754.

The spelling of 56732800 in words is "fifty-six million, seven hundred thirty-two thousand, eight hundred".