57028608000 has 1536 divisors, whose sum is σ = 267936439680. Its totient is φ = 11324620800.

The previous prime is 57028607969. The next prime is 57028608041. The reversal of 57028608000 is 80682075.

57028608000 is a `hidden beast` number, since 570 + 2 + 8 + 6 + 0 + 80 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3354623992 + ... + 3354624008.

Almost surely, 2^57028608000 is an apocalyptic number.

57028608000 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 57028608000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133968219840).

57028608000 is an abundant number, since it is smaller than the sum of its proper divisors (210907831680).

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

57028608000 is a wasteful number, since it uses less digits than its factorization.

57028608000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 57028608000 in words is "fifty-seven billion, twenty-eight million, six hundred eight thousand".