56289168 has 150 divisors (see below), whose sum is σ = 177099714. Its totient is φ = 17252352.

The previous prime is 56289161. The next prime is 56289209. The reversal of 56289168 is 86198265.

56289168 is a `hidden beast` number, since 5 + 628 + 9 + 16 + 8 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 5992704 + 50296464 = 2448^2 + 7092^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56289161) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 218896 + ... + 219152.

Almost surely, 2^56289168 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 56289168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88549857).

56289168 is an abundant number, since it is smaller than the sum of its proper divisors (120810546).

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

56289168 is a wasteful number, since it uses less digits than its factorization.

56289168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 275 counting only the distinct ones).

The product of its digits is 207360, while the sum is 45.

The square root of 56289168 is about 7502.6107456005. The cubic root of 56289168 is about 383.2436283269.

The spelling of 56289168 in words is "fifty-six million, two hundred eighty-nine thousand, one hundred sixty-eight".