56409728 has 32 divisors (see below), whose sum is σ = 113937060. Its totient is φ = 27813888.

The previous prime is 56409721. The next prime is 56409733. The reversal of 56409728 is 82790465.

56409728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 55472704 + 937024 = 7448^2 + 968^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (56409721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6326 + ... + 12362.

Almost surely, 2^56409728 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 56409728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56968530).

56409728 is an abundant number, since it is smaller than the sum of its proper divisors (57527332).

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

56409728 is an equidigital number, since it uses as much as digits as its factorization.

56409728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6124 (or 6112 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 41.

The square root of 56409728 is about 7510.6409846297. The cubic root of 56409728 is about 383.5170433031.

The spelling of 56409728 in words is "fifty-six million, four hundred nine thousand, seven hundred twenty-eight".