56428017264 has 120 divisors (see below), whose sum is σ = 165214550592. Its totient is φ = 17960048640.

The previous prime is 56428017257. The next prime is 56428017299. The reversal of 56428017264 is 46271082465.

56428017264 is a `hidden beast` number, since 56 + 428 + 0 + 172 + 6 + 4 = 666.

It is a super-2 number, since 2×56428017264² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 175812 + ... + 379164.

Almost surely, 2^56428017264 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 56428017264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82607275296).

56428017264 is an abundant number, since it is smaller than the sum of its proper divisors (108786533328).

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

56428017264 is a wasteful number, since it uses less digits than its factorization.

56428017264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203455 (or 203446 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 56428017264 in words is "fifty-six billion, four hundred twenty-eight million, seventeen thousand, two hundred sixty-four".