28724958611856 has 240 divisors, whose sum is σ = 87470331748800. Its totient is φ = 8747113909248.

The previous prime is 28724958611831. The next prime is 28724958611893. The reversal of 28724958611856 is 65811685942782.

28724958611856 is a `hidden beast` number, since 2 + 8 + 7 + 2 + 495 + 86 + 1 + 1 + 8 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 175195291 + ... + 175359173.

It is an arithmetic number, because the mean of its divisors is an integer number (364459715620).

Almost surely, 2^{28724958611856} is an apocalyptic number.

28724958611856 is a gapful number since it is divisible by the number (26) 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 28724958611856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43735165874400).

28724958611856 is an abundant number, since it is smaller than the sum of its proper divisors (58745373136944).

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

28724958611856 is a wasteful number, since it uses less digits than its factorization.

28724958611856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164878 (or 164869 counting only the distinct ones).

The product of its digits is 464486400, while the sum is 72.

The spelling of 28724958611856 in words is "twenty-eight trillion, seven hundred twenty-four billion, nine hundred fifty-eight million, six hundred eleven thousand, eight hundred fifty-six".