28674736128000 has 2880 divisors, whose sum is σ = 119707126995456. Its totient is φ = 6794772480000.

The previous prime is 28674736127993. The next prime is 28674736128097. The reversal of 28674736128000 is 82163747682.

28674736128000 is a `hidden beast` number, since 2 + 86 + 7 + 473 + 6 + 12 + 80 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

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 159 ways as a sum of consecutive naturals, for example, 699383807980 + ... + 699383808020.

Almost surely, 2^{28674736128000} is an apocalyptic number.

28674736128000 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 28674736128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59853563497728).

28674736128000 is an abundant number, since it is smaller than the sum of its proper divisors (91032390867456).

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

28674736128000 is an frugal number, since it uses more digits than its factorization.

28674736128000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 28674736128000 in words is "twenty-eight trillion, six hundred seventy-four billion, seven hundred thirty-six million, one hundred twenty-eight thousand".