57416128 has 112 divisors (see below), whose sum is σ = 145133568. Its totient is φ = 21888000.

The previous prime is 57416111. The next prime is 57416131. The reversal of 57416128 is 82161475.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×57416128² = 6593223509024768, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 57416093 and 57416102.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 300513 + ... + 300703.

Almost surely, 2^57416128 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 57416128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72566784).

57416128 is an abundant number, since it is smaller than the sum of its proper divisors (87717440).

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

57416128 is a wasteful number, since it uses less digits than its factorization.

57416128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 272 counting only the distinct ones).

The product of its digits is 13440, while the sum is 34.

The square root of 57416128 is about 7577.3430699685. The cubic root of 57416128 is about 385.7843749044.

The spelling of 57416128 in words is "fifty-seven million, four hundred sixteen thousand, one hundred twenty-eight".