57001728 has 144 divisors (see below), whose sum is σ = 181310976. Its totient is φ = 15544320.

The previous prime is 57001723. The next prime is 57001781. The reversal of 57001728 is 82710075.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 57001695 and 57001704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57001723) 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 15 ways as a sum of consecutive naturals, for example, 123418 + ... + 123878.

It is an arithmetic number, because the mean of its divisors is an integer number (1259104).

Almost surely, 2^57001728 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 57001728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90655488).

57001728 is an abundant number, since it is smaller than the sum of its proper divisors (124309248).

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

57001728 is a wasteful number, since it uses less digits than its factorization.

57001728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 30.

The square root of 57001728 is about 7549.9488739991. The cubic root of 57001728 is about 384.8540021001.

The spelling of 57001728 in words is "fifty-seven million, one thousand, seven hundred twenty-eight".