57268736 has 120 divisors (see below), whose sum is σ = 142565280. Its totient is φ = 22450176.

The previous prime is 57268727. The next prime is 57268777. The reversal of 57268736 is 63786275.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 1974770 + ... + 1974798.

It is an arithmetic number, because the mean of its divisors is an integer number (1188044).

Almost surely, 2^57268736 is an apocalyptic number.

57268736 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57268736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71282640).

57268736 is an abundant number, since it is smaller than the sum of its proper divisors (85296544).

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

57268736 is an equidigital number, since it uses as much as digits as its factorization.

57268736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 57 counting only the distinct ones).

The product of its digits is 423360, while the sum is 44.

The square root of 57268736 is about 7567.6109836592. The cubic root of 57268736 is about 385.4539784451.

The spelling of 57268736 in words is "fifty-seven million, two hundred sixty-eight thousand, seven hundred thirty-six".