57288000 has 448 divisors, whose sum is σ = 243449856. Its totient is φ = 11520000.

The previous prime is 57287999. The next prime is 57288013. The reversal of 57288000 is 88275.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1847985 + ... + 1848015.

Almost surely, 2^57288000 is an apocalyptic number.

57288000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57288000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121724928).

57288000 is an abundant number, since it is smaller than the sum of its proper divisors (186161856).

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

57288000 is a wasteful number, since it uses less digits than its factorization.

57288000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 30.

The square root of 57288000 is about 7568.8836693399. The cubic root of 57288000 is about 385.4971931409.

The spelling of 57288000 in words is "fifty-seven million, two hundred eighty-eight thousand".