28312670979360 has 768 divisors, whose sum is σ = 108140359219200. Its totient is φ = 6890838884352.

The previous prime is 28312670979317. The next prime is 28312670979403. The reversal of 28312670979360 is 6397907621382.

28312670979360 is a `hidden beast` number, since 2 + 8 + 3 + 1 + 267 + 0 + 9 + 7 + 9 + 360 = 666.

It is an interprime number because it is at equal distance from previous prime (28312670979317) and next prime (28312670979403).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 376195494 + ... + 376270746.

It is an arithmetic number, because the mean of its divisors is an integer number (140807759400).

Almost surely, 2^{28312670979360} is an apocalyptic number.

28312670979360 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 28312670979360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54070179609600).

28312670979360 is an abundant number, since it is smaller than the sum of its proper divisors (79827688239840).

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

28312670979360 is a wasteful number, since it uses less digits than its factorization.

28312670979360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75450 (or 75436 counting only the distinct ones).

The product of its (nonzero) digits is 41150592, while the sum is 63.

The spelling of 28312670979360 in words is "twenty-eight trillion, three hundred twelve billion, six hundred seventy million, nine hundred seventy-nine thousand, three hundred sixty".