57082844 has 72 divisors (see below), whose sum is σ = 128299248. Its totient is φ = 22014720.

The previous prime is 57082843. The next prime is 57082847. The reversal of 57082844 is 44828075.

It is a junction number, because it is equal to n+sod(n) for n = 57082798 and 57082807.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57082841) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 109304 + ... + 109824.

It is an arithmetic number, because the mean of its divisors is an integer number (1781934).

Almost surely, 2^57082844 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 57082844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64149624).

57082844 is an abundant number, since it is smaller than the sum of its proper divisors (71216404).

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

57082844 is a wasteful number, since it uses less digits than its factorization.

57082844 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 595 (or 586 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 38.

The square root of 57082844 is about 7555.3189211310. The cubic root of 57082844 is about 385.0364703743.

The spelling of 57082844 in words is "fifty-seven million, eighty-two thousand, eight hundred forty-four".