28909095915960 has 768 divisors, whose sum is σ = 110658801576960. Its totient is φ = 6477391134720.

The previous prime is 28909095915883. The next prime is 28909095916039. The reversal of 28909095915960 is 6951959090982.

28909095915960 is a `hidden beast` number, since 28 + 9 + 0 + 9 + 0 + 9 + 5 + 9 + 1 + 596 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5813208034 + ... + 5813213006.

It is an arithmetic number, because the mean of its divisors is an integer number (144086981220).

Almost surely, 2^{28909095915960} is an apocalyptic number.

28909095915960 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 28909095915960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55329400788480).

28909095915960 is an abundant number, since it is smaller than the sum of its proper divisors (81749705661000).

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

28909095915960 is a wasteful number, since it uses less digits than its factorization.

28909095915960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7408 (or 7401 counting only the distinct ones).

The product of its (nonzero) digits is 141717600, while the sum is 72.

The spelling of 28909095915960 in words is "twenty-eight trillion, nine hundred nine billion, ninety-five million, nine hundred fifteen thousand, nine hundred sixty".