28670814172800 has 864 divisors, whose sum is σ = 106420967640000. Its totient is φ = 7632063129600.

The previous prime is 28670814172753. The next prime is 28670814172823. The reversal of 28670814172800 is 827141807682.

28670814172800 is a `hidden beast` number, since 2 + 8 + 6 + 70 + 81 + 417 + 2 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 19126626451 + ... + 19126627949.

It is an arithmetic number, because the mean of its divisors is an integer number (123172416250).

Almost surely, 2^{28670814172800} is an apocalyptic number.

28670814172800 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 28670814172800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53210483820000).

28670814172800 is an abundant number, since it is smaller than the sum of its proper divisors (77750153467200).

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

28670814172800 is an frugal number, since it uses more digits than its factorization.

28670814172800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2458 (or 2420 counting only the distinct ones).

The product of its (nonzero) digits is 2408448, while the sum is 54.

The spelling of 28670814172800 in words is "twenty-eight trillion, six hundred seventy billion, eight hundred fourteen million, one hundred seventy-two thousand, eight hundred".