57526848 has 126 divisors (see below), whose sum is σ = 172473366. Its totient is φ = 19035648.

The previous prime is 57526837. The next prime is 57526849. The reversal of 57526848 is 84862575.

It can be written as a sum of positive squares in only one way, i.e., 50808384 + 6718464 = 7128^2 + 2592^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57526849) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 419836 + ... + 419972.

Almost surely, 2^57526848 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 57526848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86236683).

57526848 is an abundant number, since it is smaller than the sum of its proper divisors (114946518).

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

57526848 is an frugal number, since it uses more digits than its factorization.

57526848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 142 counting only the distinct ones).

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

The square root of 57526848 is about 7584.6455421463. The cubic root of 57526848 is about 386.0321950470.

The spelling of 57526848 in words is "fifty-seven million, five hundred twenty-six thousand, eight hundred forty-eight".