57241728 has 80 divisors (see below), whose sum is σ = 170381310. Its totient is φ = 19077120.

The previous prime is 57241711. The next prime is 57241757. The reversal of 57241728 is 82714275.

It can be written as a sum of positive squares in only one way, i.e., 52881984 + 4359744 = 7272^2 + 2088^2 .

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 = 57241692 and 57241701.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 7608 + ... + 13128.

Almost surely, 2^57241728 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 57241728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85190655).

57241728 is an abundant number, since it is smaller than the sum of its proper divisors (113139582).

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

57241728 is an equidigital number, since it uses as much as digits as its factorization.

57241728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5547 (or 5526 counting only the distinct ones).

The product of its digits is 31360, while the sum is 36.

The square root of 57241728 is about 7565.8263263176. The cubic root of 57241728 is about 385.3933754080.

The spelling of 57241728 in words is "fifty-seven million, two hundred forty-one thousand, seven hundred twenty-eight".