57820392 has 144 divisors (see below), whose sum is σ = 189221760. Its totient is φ = 16492896.

The previous prime is 57820391. The next prime is 57820393. The reversal of 57820392 is 29302875.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (57820391) and next prime (57820393).

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

It is not an unprimeable number, because it can be changed into a prime (57820391) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 94953 + ... + 95559.

It is an arithmetic number, because the mean of its divisors is an integer number (1314040).

Almost surely, 2^57820392 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 57820392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94610880).

57820392 is an abundant number, since it is smaller than the sum of its proper divisors (131401368).

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

57820392 is a wasteful number, since it uses less digits than its factorization.

57820392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 642 (or 619 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 57820392 is about 7603.9721198858. The cubic root of 57820392 is about 386.6876874554.

The spelling of 57820392 in words is "fifty-seven million, eight hundred twenty thousand, three hundred ninety-two".