56128032 has 96 divisors (see below), whose sum is σ = 165110400. Its totient is φ = 18549504.

The previous prime is 56128013. The next prime is 56128063. The reversal of 56128032 is 23082165.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 56127987 and 56128005.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 144094 + ... + 144482.

It is an arithmetic number, because the mean of its divisors is an integer number (1719900).

Almost surely, 2^56128032 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 56128032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82555200).

56128032 is an abundant number, since it is smaller than the sum of its proper divisors (108982368).

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

56128032 is a wasteful number, since it uses less digits than its factorization.

56128032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 575 (or 561 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 56128032 is about 7491.8643874539. The cubic root of 56128032 is about 382.8775817834.

The spelling of 56128032 in words is "fifty-six million, one hundred twenty-eight thousand, thirty-two".