28557474117120 has 1280 divisors, whose sum is σ = 114822750873600. Its totient is φ = 6674855362560.

The previous prime is 28557474117059. The next prime is 28557474117131. The reversal of 28557474117120 is 2171147475582.

28557474117120 is a `hidden beast` number, since 2 + 8 + 5 + 57 + 474 + 117 + 1 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2872691350 + ... + 2872701290.

It is an arithmetic number, because the mean of its divisors is an integer number (89705274120).

Almost surely, 2^{28557474117120} is an apocalyptic number.

28557474117120 is a gapful number since it is divisible by the number (20) 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 28557474117120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57411375436800).

28557474117120 is an abundant number, since it is smaller than the sum of its proper divisors (86265276756480).

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

28557474117120 is a wasteful number, since it uses less digits than its factorization.

28557474117120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10148 (or 10126 counting only the distinct ones).

The product of its (nonzero) digits is 4390400, while the sum is 54.

The spelling of 28557474117120 in words is "twenty-eight trillion, five hundred fifty-seven billion, four hundred seventy-four million, one hundred seventeen thousand, one hundred twenty".