56444688 has 100 divisors (see below), whose sum is σ = 165419100. Its totient is φ = 18579456.

The previous prime is 56444683. The next prime is 56444711. The reversal of 56444688 is 88644465.

56444688 is a `hidden beast` number, since 564 + 4 + 4 + 6 + 88 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 29942784 + 26501904 = 5472^2 + 5148^2 .

It is not an unprimeable number, because it can be changed into a prime (56444683) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 125488 + ... + 125936.

It is an arithmetic number, because the mean of its divisors is an integer number (1654191).

Almost surely, 2^56444688 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 56444688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82709550).

56444688 is an abundant number, since it is smaller than the sum of its proper divisors (108974412).

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

56444688 is a wasteful number, since it uses less digits than its factorization.

56444688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 566 (or 551 counting only the distinct ones).

The product of its digits is 737280, while the sum is 45.

The square root of 56444688 is about 7512.9679887512. The cubic root of 56444688 is about 383.5962553317.

The spelling of 56444688 in words is "fifty-six million, four hundred forty-four thousand, six hundred eighty-eight".