57888 has 48 divisors (see below), whose sum is σ = 171360. Its totient is φ = 19008.

The previous prime is 57881. The next prime is 57899. The reversal of 57888 is 88875.

57888 is a `hidden beast` number, since 578 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a plaindrome in base 10.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (57881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 831 + ... + 897.

It is an arithmetic number, because the mean of its divisors is an integer number (3570).

2⁵⁷⁸⁸⁸ 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 57888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85680).

57888 is an abundant number, since it is smaller than the sum of its proper divisors (113472).

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

57888 is a wasteful number, since it uses less digits than its factorization.

57888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 72 counting only the distinct ones).

The product of its digits is 17920, while the sum is 36.

The square root of 57888 is about 240.5992518692. The cubic root of 57888 is about 38.6838343636.

It can be divided in two parts, 578 and 88, that added together give a palindrome (666).

The spelling of 57888 in words is "fifty-seven thousand, eight hundred eighty-eight".