57852144 has 150 divisors (see below), whose sum is σ = 194991984. Its totient is φ = 16511040.

The previous prime is 57852143. The next prime is 57852229. The reversal of 57852144 is 44125875.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 57852099 and 57852108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57852143) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 63049 + ... + 63959.

Almost surely, 2^57852144 is an apocalyptic number.

57852144 is a gapful number since it is divisible by the number (54) 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 57852144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97495992).

57852144 is an abundant number, since it is smaller than the sum of its proper divisors (137139840).

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

57852144 is a wasteful number, since it uses less digits than its factorization.

57852144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 945 (or 923 counting only the distinct ones).

The product of its digits is 44800, while the sum is 36.

The square root of 57852144 is about 7606.0596894844. The cubic root of 57852144 is about 386.7584575316.

The spelling of 57852144 in words is "fifty-seven million, eight hundred fifty-two thousand, one hundred forty-four".