57748320 has 288 divisors, whose sum is σ = 239174208. Its totient is φ = 12386304.

The previous prime is 57748307. The next prime is 57748321. The reversal of 57748320 is 2384775.

57748320 is a `hidden beast` number, since 577 + 4 + 83 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57748321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 171192 + ... + 171528.

It is an arithmetic number, because the mean of its divisors is an integer number (830466).

Almost surely, 2^57748320 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 57748320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119587104).

57748320 is an abundant number, since it is smaller than the sum of its proper divisors (181425888).

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

57748320 is a wasteful number, since it uses less digits than its factorization.

57748320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 57748320 is about 7599.2315400967. The cubic root of 57748320 is about 386.5269544129.

The spelling of 57748320 in words is "fifty-seven million, seven hundred forty-eight thousand, three hundred twenty".