28175977695960 has 256 divisors, whose sum is σ = 98030414592000. Its totient is φ = 7184935042560.

The previous prime is 28175977695893. The next prime is 28175977695961. The reversal of 28175977695960 is 6959677957182.

28175977695960 is a `hidden beast` number, since 2 + 8 + 17 + 5 + 9 + 7 + 7 + 6 + 9 + 596 + 0 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 28175977695960.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28175977695961) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 91033146 + ... + 91342134.

It is an arithmetic number, because the mean of its divisors is an integer number (382931307000).

Almost surely, 2^{28175977695960} is an apocalyptic number.

28175977695960 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 28175977695960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49015207296000).

28175977695960 is an abundant number, since it is smaller than the sum of its proper divisors (69854436896040).

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

28175977695960 is a wasteful number, since it uses less digits than its factorization.

28175977695960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312703 (or 312693 counting only the distinct ones).

The product of its (nonzero) digits is 3600676800, while the sum is 81.

The spelling of 28175977695960 in words is "twenty-eight trillion, one hundred seventy-five billion, nine hundred seventy-seven million, six hundred ninety-five thousand, nine hundred sixty".