56933280 has 240 divisors, whose sum is σ = 210760704. Its totient is φ = 14446080.

The previous prime is 56933251. The next prime is 56933281. The reversal of 56933280 is 8233965.

56933280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is not an unprimeable number, because it can be changed into a prime (56933281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 297985 + ... + 298175.

Almost surely, 2^56933280 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 56933280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105380352).

56933280 is an abundant number, since it is smaller than the sum of its proper divisors (153827424).

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

56933280 is a wasteful number, since it uses less digits than its factorization.

56933280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 56933280 is about 7545.4145015367. The cubic root of 56933280 is about 384.6998954395.

The spelling of 56933280 in words is "fifty-six million, nine hundred thirty-three thousand, two hundred eighty".