57728850 has 96 divisors (see below), whose sum is σ = 154811520. Its totient is φ = 14192640.

The previous prime is 57728791. The next prime is 57728857. The reversal of 57728850 is 5882775.

It is a happy number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (57728857) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 99762 + ... + 100338.

It is an arithmetic number, because the mean of its divisors is an integer number (1612620).

Almost surely, 2^57728850 is an apocalyptic number.

57728850 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 57728850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77405760).

57728850 is an abundant number, since it is smaller than the sum of its proper divisors (97082670).

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

57728850 is a wasteful number, since it uses less digits than its factorization.

57728850 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644 (or 639 counting only the distinct ones).

The product of its (nonzero) digits is 156800, while the sum is 42.

The square root of 57728850 is about 7597.9503815174. The cubic root of 57728850 is about 386.4835099992.

The spelling of 57728850 in words is "fifty-seven million, seven hundred twenty-eight thousand, eight hundred fifty".