56825280 has 112 divisors (see below), whose sum is σ = 200497440. Its totient is φ = 15151104.

The previous prime is 56825267. The next prime is 56825287. The reversal of 56825280 is 8252865.

56825280 is a `hidden beast` number, since 56 + 82 + 528 + 0 = 666.

It is a super-2 number, since 2×56825280² = 6458224894156800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56825287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5352 + ... + 11928.

Almost surely, 2^56825280 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56825280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100248720).

56825280 is an abundant number, since it is smaller than the sum of its proper divisors (143672160).

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

56825280 is a wasteful number, since it uses less digits than its factorization.

56825280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6603 (or 6587 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 56825280 is about 7538.2544398554. The cubic root of 56825280 is about 384.4564883745.

The spelling of 56825280 in words is "fifty-six million, eight hundred twenty-five thousand, two hundred eighty".