57563328 has 56 divisors (see below), whose sum is σ = 153271728. Its totient is φ = 19065856.

The previous prime is 57563327. The next prime is 57563333. The reversal of 57563328 is 82336575.

57563328 = T₁₂₇ + T₁₂₈ + ... + T₇₀₂.

It is a super-3 number, since 3×57563328³ (a number of 24 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (57563327) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32350 + ... + 34082.

Almost surely, 2^57563328 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 57563328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76635864).

57563328 is an abundant number, since it is smaller than the sum of its proper divisors (95708400).

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

57563328 is a wasteful number, since it uses less digits than its factorization.

57563328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1921 (or 1911 counting only the distinct ones).

The product of its digits is 151200, while the sum is 39.

The square root of 57563328 is about 7587.0500196058. The cubic root of 57563328 is about 386.1137771214.

It can be divided in two parts, 575 and 63328, that added together give a triangular number (63903 = T₃₅₇).

The spelling of 57563328 in words is "fifty-seven million, five hundred sixty-three thousand, three hundred twenty-eight".