57965248 has 56 divisors (see below), whose sum is σ = 126607824. Its totient is φ = 26112000.

The previous prime is 57965239. The next prime is 57965249. The reversal of 57965248 is 84256975.

57965248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 57965198 and 57965207.

It is not an unprimeable number, because it can be changed into a prime (57965249) 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 7 ways as a sum of consecutive naturals, for example, 96148 + ... + 96748.

It is an arithmetic number, because the mean of its divisors is an integer number (2260854).

Almost surely, 2^57965248 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 57965248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63303912).

57965248 is an abundant number, since it is smaller than the sum of its proper divisors (68642576).

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

57965248 is a wasteful number, since it uses less digits than its factorization.

57965248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 761 (or 751 counting only the distinct ones).

The product of its digits is 604800, while the sum is 46.

The square root of 57965248 is about 7613.4911834191. The cubic root of 57965248 is about 387.0103378668.

The spelling of 57965248 in words is "fifty-seven million, nine hundred sixty-five thousand, two hundred forty-eight".