28930475174400 has 360 divisors, whose sum is σ = 103990376359584. Its totient is φ = 7680800563200.

The previous prime is 28930475174383. The next prime is 28930475174401. The reversal of 28930475174400 is 447157403982.

28930475174400 is a `hidden beast` number, since 2 + 89 + 3 + 0 + 4 + 7 + 517 + 4 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is not an unprimeable number, because it can be changed into a prime (28930475174401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 25597245 + ... + 26703555.

Almost surely, 2^{28930475174400} is an apocalyptic number.

28930475174400 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 28930475174400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51995188179792).

28930475174400 is an abundant number, since it is smaller than the sum of its proper divisors (75059901185184).

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

28930475174400 is a wasteful number, since it uses less digits than its factorization.

28930475174400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1106572 (or 1106548 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 28930475174400 in words is "twenty-eight trillion, nine hundred thirty billion, four hundred seventy-five million, one hundred seventy-four thousand, four hundred".