8502972928632 has 288 divisors, whose sum is σ = 28924756922880. Its totient is φ = 2236682488320.

The previous prime is 8502972928589. The next prime is 8502972928649. The reversal of 8502972928632 is 2368292792058.

8502972928632 is a `hidden beast` number, since 8 + 50 + 297 + 292 + 8 + 6 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 8502972928632.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 17323882 + ... + 17807942.

It is an arithmetic number, because the mean of its divisors is an integer number (100433183760).

Almost surely, 2^{8502972928632} 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 8502972928632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14462378461440).

8502972928632 is an abundant number, since it is smaller than the sum of its proper divisors (20421783994248).

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

8502972928632 is a wasteful number, since it uses less digits than its factorization.

8502972928632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484483 (or 484469 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 8502972928632 in words is "eight trillion, five hundred two billion, nine hundred seventy-two million, nine hundred twenty-eight thousand, six hundred thirty-two".