57052320 has 192 divisors, whose sum is σ = 199148544. Its totient is φ = 13639680.

The previous prime is 57052301. The next prime is 57052321. The reversal of 57052320 is 2325075.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (57052321) 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 31 ways as a sum of consecutive naturals, for example, 255729 + ... + 255951.

It is an arithmetic number, because the mean of its divisors is an integer number (1037232).

Almost surely, 2^57052320 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 57052320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99574272).

57052320 is an abundant number, since it is smaller than the sum of its proper divisors (142096224).

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

57052320 is a wasteful number, since it uses less digits than its factorization.

57052320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 24.

The square root of 57052320 is about 7553.2986171606. The cubic root of 57052320 is about 384.9678277496.

Adding to 57052320 its reverse (2325075), we get a palindrome (59377395).

The spelling of 57052320 in words is "fifty-seven million, fifty-two thousand, three hundred twenty".