56363328 has 126 divisors (see below), whose sum is σ = 188025786. Its totient is φ = 16095744.

The previous prime is 56363311. The next prime is 56363369. The reversal of 56363328 is 82336365.

It is a happy number.

56363328 is a `hidden beast` number, since 563 + 63 + 32 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 32626944 + 23736384 = 5712^2 + 4872^2 .

It is a tau number, because it is divible by the number of its divisors (126).

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

It is a junction number, because it is equal to n+sod(n) for n = 56363292 and 56363301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 27226 + ... + 29222.

Almost surely, 2^56363328 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 56363328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94012893).

56363328 is an abundant number, since it is smaller than the sum of its proper divisors (131662458).

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

56363328 is a wasteful number, since it uses less digits than its factorization.

56363328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2029 (or 2009 counting only the distinct ones).

The product of its digits is 77760, while the sum is 36.

The square root of 56363328 is about 7507.5513984255. The cubic root of 56363328 is about 383.4118600730.

The spelling of 56363328 in words is "fifty-six million, three hundred sixty-three thousand, three hundred twenty-eight".