57682352 has 80 divisors (see below), whose sum is σ = 138949440. Its totient is φ = 22588416.

The previous prime is 57682349. The next prime is 57682357. The reversal of 57682352 is 25328675.

It is not an unprimeable number, because it can be changed into a prime (57682357) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 251774 + ... + 252002.

It is an arithmetic number, because the mean of its divisors is an integer number (1736868).

Almost surely, 2^57682352 is an apocalyptic number.

57682352 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57682352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69474720).

57682352 is an abundant number, since it is smaller than the sum of its proper divisors (81267088).

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

57682352 is a wasteful number, since it uses less digits than its factorization.

57682352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430 (or 424 counting only the distinct ones).

The product of its digits is 100800, while the sum is 38.

The square root of 57682352 is about 7594.8898609526. The cubic root of 57682352 is about 386.3797170818.

It can be divided in two parts, 576 and 82352, that added together give a palindrome (82928).

The spelling of 57682352 in words is "fifty-seven million, six hundred eighty-two thousand, three hundred fifty-two".