56766528 has 336 divisors, whose sum is σ = 216773760. Its totient is φ = 14183424.

The previous prime is 56766517. The next prime is 56766529. The reversal of 56766528 is 82566765.

56766528 is a `hidden beast` number, since 5 + 67 + 66 + 528 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is not an unprimeable number, because it can be changed into a prime (56766529) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2987703 + ... + 2987721.

It is an arithmetic number, because the mean of its divisors is an integer number (645160).

Almost surely, 2^56766528 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 56766528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108386880).

56766528 is an abundant number, since it is smaller than the sum of its proper divisors (160007232).

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

56766528 is a wasteful number, since it uses less digits than its factorization.

56766528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 44 counting only the distinct ones).

The product of its digits is 604800, while the sum is 45.

The square root of 56766528 is about 7534.3565086874. The cubic root of 56766528 is about 384.3239453903.

The spelling of 56766528 in words is "fifty-six million, seven hundred sixty-six thousand, five hundred twenty-eight".