57828736 has 64 divisors (see below), whose sum is σ = 132706080. Its totient is φ = 24588288.

The previous prime is 57828731. The next prime is 57828763. The reversal of 57828736 is 63782875.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57828731) 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 7 ways as a sum of consecutive naturals, for example, 208630 + ... + 208906.

Almost surely, 2^57828736 is an apocalyptic number.

57828736 is a gapful number since it is divisible by the number (56) 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 57828736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66353040).

57828736 is an abundant number, since it is smaller than the sum of its proper divisors (74877344).

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

57828736 is a wasteful number, since it uses less digits than its factorization.

57828736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 531 (or 519 counting only the distinct ones).

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

The square root of 57828736 is about 7604.5207607054. The cubic root of 57828736 is about 386.7062873920.

It can be divided in two parts, 57828 and 736, that added together give a square (58564 = 242²).

The spelling of 57828736 in words is "fifty-seven million, eight hundred twenty-eight thousand, seven hundred thirty-six".