56857248 has 288 divisors, whose sum is σ = 206841600. Its totient is φ = 15095808.

The previous prime is 56857217. The next prime is 56857261. The reversal of 56857248 is 84275865.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 719673 + ... + 719751.

It is an arithmetic number, because the mean of its divisors is an integer number (718200).

Almost surely, 2^56857248 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 56857248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103420800).

56857248 is an abundant number, since it is smaller than the sum of its proper divisors (149984352).

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

56857248 is a wasteful number, since it uses less digits than its factorization.

56857248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 108 counting only the distinct ones).

The product of its digits is 537600, while the sum is 45.

The square root of 56857248 is about 7540.3745265073. The cubic root of 56857248 is about 384.5285689756.

The spelling of 56857248 in words is "fifty-six million, eight hundred fifty-seven thousand, two hundred forty-eight".