28172700864000 has 960 divisors, whose sum is σ = 126511724731392. Its totient is φ = 5854058496000.

The previous prime is 28172700863981. The next prime is 28172700864013. The reversal of 28172700864000 is 46800727182.

28172700864000 is a `hidden beast` number, since 2 + 8 + 172 + 70 + 0 + 8 + 6 + 400 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 44034397 + ... + 44669603.

Almost surely, 2^{28172700864000} is an apocalyptic number.

28172700864000 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 28172700864000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63255862365696).

28172700864000 is an abundant number, since it is smaller than the sum of its proper divisors (98339023867392).

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

28172700864000 is a wasteful number, since it uses less digits than its factorization.

28172700864000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 635264 (or 635235 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The spelling of 28172700864000 in words is "twenty-eight trillion, one hundred seventy-two billion, seven hundred million, eight hundred sixty-four thousand".