57827952 has 160 divisors (see below), whose sum is σ = 204431360. Its totient is φ = 15240960.

The previous prime is 57827951. The next prime is 57827969. The reversal of 57827952 is 25972875.

It is a happy number.

57827952 is a `hidden beast` number, since 578 + 2 + 79 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 57827898 and 57827907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57827951) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38577 + ... + 40047.

It is an arithmetic number, because the mean of its divisors is an integer number (1277696).

Almost surely, 2^57827952 is an apocalyptic number.

57827952 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 57827952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102215680).

57827952 is an abundant number, since it is smaller than the sum of its proper divisors (146603408).

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

57827952 is a wasteful number, since it uses less digits than its factorization.

57827952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1508 (or 1496 counting only the distinct ones).

The product of its digits is 352800, while the sum is 45.

The square root of 57827952 is about 7604.4692122462. The cubic root of 57827952 is about 386.7045398231.

The spelling of 57827952 in words is "fifty-seven million, eight hundred twenty-seven thousand, nine hundred fifty-two".