28746929758464 has 216 divisors, whose sum is σ = 84359820504960. Its totient is φ = 9412977659904.

The previous prime is 28746929758447. The next prime is 28746929758513. The reversal of 28746929758464 is 46485792964782.

28746929758464 is a `hidden beast` number, since 2 + 8 + 7 + 4 + 6 + 9 + 29 + 7 + 584 + 6 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35456299 + ... + 36258005.

It is an arithmetic number, because the mean of its divisors is an integer number (390554724560).

Almost surely, 2^{28746929758464} is an apocalyptic number.

28746929758464 is a gapful number since it is divisible by the number (24) 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 28746929758464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42179910252480).

28746929758464 is an abundant number, since it is smaller than the sum of its proper divisors (55612890746496).

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

28746929758464 is a wasteful number, since it uses less digits than its factorization.

28746929758464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 802005 (or 801988 counting only the distinct ones).

The product of its digits is 11705057280, while the sum is 81.

The spelling of 28746929758464 in words is "twenty-eight trillion, seven hundred forty-six billion, nine hundred twenty-nine million, seven hundred fifty-eight thousand, four hundred sixty-four".