57829952 has 28 divisors (see below), whose sum is σ = 116645436. Its totient is φ = 28439040.

The previous prime is 57829931. The next prime is 57829957. The reversal of 57829952 is 25992875.

It can be written as a sum of positive squares in 2 ways, for example, as 7929856 + 49900096 = 2816^2 + 7064^2 .

It is a junction number, because it is equal to n+sod(n) for n = 57829897 and 57829906.

It is not an unprimeable number, because it can be changed into a prime (57829957) 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 3 ways as a sum of consecutive naturals, for example, 3503 + ... + 11310.

Almost surely, 2^57829952 is an apocalyptic number.

It is an amenable number.

57829952 is an abundant number, since it is smaller than the sum of its proper divisors (58815484).

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

57829952 is a wasteful number, since it uses less digits than its factorization.

57829952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14886 (or 14876 counting only the distinct ones).

The product of its digits is 453600, while the sum is 47.

The square root of 57829952 is about 7604.6007127265. The cubic root of 57829952 is about 386.7089978758.

The spelling of 57829952 in words is "fifty-seven million, eight hundred twenty-nine thousand, nine hundred fifty-two".