8291793759228 has 240 divisors, whose sum is σ = 25636690537920. Its totient is φ = 2286549264384.

The previous prime is 8291793759133. The next prime is 8291793759259. The reversal of 8291793759228 is 8229573971928.

8291793759228 is a `hidden beast` number, since 8 + 2 + 9 + 1 + 7 + 9 + 3 + 7 + 592 + 28 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 190519726 + ... + 190563242.

It is an arithmetic number, because the mean of its divisors is an integer number (106819543908).

Almost surely, 2^{8291793759228} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8291793759228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12818345268960).

8291793759228 is an abundant number, since it is smaller than the sum of its proper divisors (17344896778692).

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

8291793759228 is a wasteful number, since it uses less digits than its factorization.

8291793759228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46466 (or 46455 counting only the distinct ones).

The product of its digits is 274337280, while the sum is 72.

The spelling of 8291793759228 in words is "eight trillion, two hundred ninety-one billion, seven hundred ninety-three million, seven hundred fifty-nine thousand, two hundred twenty-eight".