56288064 has 168 divisors, whose sum is σ = 179758848. Its totient is φ = 15482880.

The previous prime is 56288059. The next prime is 56288077. The reversal of 56288064 is 46088265.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×56288064² = 6336692297736192, which contains 22 as substring.

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, 291552 + ... + 291744.

Almost surely, 2^56288064 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 56288064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89879424).

56288064 is an abundant number, since it is smaller than the sum of its proper divisors (123470784).

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

56288064 is a wasteful number, since it uses less digits than its factorization.

56288064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The square root of 56288064 is about 7502.5371708509. The cubic root of 56288064 is about 383.2411227901.

The spelling of 56288064 in words is "fifty-six million, two hundred eighty-eight thousand, sixty-four".