57802752 has 162 divisors, whose sum is σ = 194247963. Its totient is φ = 16515072.

The previous prime is 57802739. The next prime is 57802753. The reversal of 57802752 is 25720875.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 28901376 + 28901376 = 5376^2 + 5376^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=5376.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (57802753) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 8257533 + ... + 8257539.

Almost surely, 2^57802752 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 57802752

57802752 is an abundant number, since it is smaller than the sum of its proper divisors (136445211).

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

57802752 is an frugal number, since it uses more digits than its factorization.

57802752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54 (or 12 counting only the distinct ones).

The product of its (nonzero) digits is 39200, while the sum is 36.

The square root of 57802752 is about 7602.8121113178. The cubic root of 57802752 is about 386.6483595507.

Multiplying 57802752 by its product of nonzero digits (39200), we get a square (2265867878400 = 1505280²).

The spelling of 57802752 in words is "fifty-seven million, eight hundred two thousand, seven hundred fifty-two".