57832768 has 56 divisors (see below), whose sum is σ = 132112512. Its totient is φ = 24605184.

The previous prime is 57832729. The next prime is 57832771. The reversal of 57832768 is 86723875.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 74430 + ... + 75202.

It is an arithmetic number, because the mean of its divisors is an integer number (2359152).

Almost surely, 2^57832768 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 57832768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66056256).

57832768 is an abundant number, since it is smaller than the sum of its proper divisors (74279744).

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

57832768 is a wasteful number, since it uses less digits than its factorization.

57832768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 959 (or 949 counting only the distinct ones).

The product of its digits is 564480, while the sum is 46.

The square root of 57832768 is about 7604.7858615480. The cubic root of 57832768 is about 386.7152746397.

It can be divided in two parts, 578 and 32768, that multiplied together give a square (18939904 = 4352²).

The spelling of 57832768 in words is "fifty-seven million, eight hundred thirty-two thousand, seven hundred sixty-eight".