57785728 has 192 divisors, whose sum is σ = 159536160. Its totient is φ = 20275200.

The previous prime is 57785723. The next prime is 57785731. The reversal of 57785728 is 82758775.

It is a happy number.

57785728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57785723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1409388 + ... + 1409428.

Almost surely, 2^57785728 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 57785728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79768080).

57785728 is an abundant number, since it is smaller than the sum of its proper divisors (101750432).

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

57785728 is a wasteful number, since it uses less digits than its factorization.

57785728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 74 counting only the distinct ones).

The product of its digits is 1097600, while the sum is 49.

The square root of 57785728 is about 7601.6924431340. The cubic root of 57785728 is about 386.6103974137.

The spelling of 57785728 in words is "fifty-seven million, seven hundred eighty-five thousand, seven hundred twenty-eight".