56828800 has 192 divisors, whose sum is σ = 166953600. Its totient is φ = 18708480.

The previous prime is 56828789. The next prime is 56828813. The reversal of 56828800 is 882865.

It is a self number, because there is not a number n which added to its sum of digits gives 56828800.

It is a congruent number.

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, 963171 + ... + 963229.

It is an arithmetic number, because the mean of its divisors is an integer number (869550).

Almost surely, 2^56828800 is an apocalyptic number.

56828800 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 56828800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83476800).

56828800 is an abundant number, since it is smaller than the sum of its proper divisors (110124800).

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

56828800 is a wasteful number, since it uses less digits than its factorization.

56828800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 37.

The square root of 56828800 is about 7538.4879120418. The cubic root of 56828800 is about 384.4644265016.

The spelling of 56828800 in words is "fifty-six million, eight hundred twenty-eight thousand, eight hundred".