57278496 has 72 divisors (see below), whose sum is σ = 165300912. Its totient is φ = 17353600.

The previous prime is 57278489. The next prime is 57278503. The reversal of 57278496 is 69487275.

It is an interprime number because it is at equal distance from previous prime (57278489) and next prime (57278503).

It is a super-2 number, since 2×57278496² = 6561652208044032, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9151 + ... + 14081.

It is an arithmetic number, because the mean of its divisors is an integer number (2295846).

Almost surely, 2^57278496 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 57278496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82650456).

57278496 is an abundant number, since it is smaller than the sum of its proper divisors (108022416).

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

57278496 is a wasteful number, since it uses less digits than its factorization.

57278496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4966 (or 4947 counting only the distinct ones).

The product of its digits is 846720, while the sum is 48.

The square root of 57278496 is about 7568.2558096301. The cubic root of 57278496 is about 385.4758741448.

The spelling of 57278496 in words is "fifty-seven million, two hundred seventy-eight thousand, four hundred ninety-six".