57189468 has 72 divisors (see below), whose sum is σ = 163430400. Its totient is φ = 15476832.

The previous prime is 57189463. The next prime is 57189469. The reversal of 57189468 is 86498175.

It is a super-3 number, since 3×57189468³ (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57189463) 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, 8613 + ... + 13731.

Almost surely, 2^57189468 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 57189468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81715200).

57189468 is an abundant number, since it is smaller than the sum of its proper divisors (106240932).

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

57189468 is a wasteful number, since it uses less digits than its factorization.

57189468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5159 (or 5150 counting only the distinct ones).

The product of its digits is 483840, while the sum is 48.

The square root of 57189468 is about 7562.3718501539. The cubic root of 57189468 is about 385.2760554570.

The spelling of 57189468 in words is "fifty-seven million, one hundred eighty-nine thousand, four hundred sixty-eight".