28639881768960 has 2808 divisors, whose sum is σ = 129030460060320. Its totient is φ = 5853271818240.

The previous prime is 28639881768937. The next prime is 28639881768989. The reversal of 28639881768960 is 6986718893682.

28639881768960 is a `hidden beast` number, since 2 + 8 + 6 + 398 + 81 + 7 + 68 + 96 + 0 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 28639881768960.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 79776829261 + ... + 79776829619.

It is an arithmetic number, because the mean of its divisors is an integer number (45951018540).

Almost surely, 2^{28639881768960} is an apocalyptic number.

28639881768960 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 28639881768960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64515230030160).

28639881768960 is an abundant number, since it is smaller than the sum of its proper divisors (100390578291360).

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

28639881768960 is a wasteful number, since it uses less digits than its factorization.

28639881768960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 3009871872, while the sum is 81.

The spelling of 28639881768960 in words is "twenty-eight trillion, six hundred thirty-nine billion, eight hundred eighty-one million, seven hundred sixty-eight thousand, nine hundred sixty".