56628352 has 64 divisors (see below), whose sum is σ = 126512640. Its totient is φ = 25021440.

The previous prime is 56628349. The next prime is 56628353. The reversal of 56628352 is 25382665.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56628353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51553 + ... + 52639.

It is an arithmetic number, because the mean of its divisors is an integer number (1976760).

Almost surely, 2^56628352 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 56628352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63256320).

56628352 is an abundant number, since it is smaller than the sum of its proper divisors (69884288).

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

56628352 is a wasteful number, since it uses less digits than its factorization.

56628352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1149 (or 1137 counting only the distinct ones).

The product of its digits is 86400, while the sum is 37.

The square root of 56628352 is about 7525.1811938318. The cubic root of 56628352 is about 384.0118630594.

The spelling of 56628352 in words is "fifty-six million, six hundred twenty-eight thousand, three hundred fifty-two".