56329728 has 240 divisors, whose sum is σ = 191702016. Its totient is φ = 14376960.

The previous prime is 56329727. The next prime is 56329733. The reversal of 56329728 is 82792365.

It is a Harshad number since it is a multiple of its sum of digits (42).

Its product of digits (181440) is a multiple of the sum of its prime divisors (56).

It is a self number, because there is not a number n which added to its sum of digits gives 56329728.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56329723) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1817073 + ... + 1817103.

Almost surely, 2^56329728 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 56329728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95851008).

56329728 is an abundant number, since it is smaller than the sum of its proper divisors (135372288).

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

56329728 is a wasteful number, since it uses less digits than its factorization.

56329728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 56 counting only the distinct ones).

The product of its digits is 181440, while the sum is 42.

The square root of 56329728 is about 7505.3133179102. The cubic root of 56329728 is about 383.3356568647.

The spelling of 56329728 in words is "fifty-six million, three hundred twenty-nine thousand, seven hundred twenty-eight".