82792715328 has 140 divisors (see below), whose sum is σ = 247051202112. Its totient is φ = 27414547200.

The previous prime is 82792715321. The next prime is 82792715329. The reversal of 82792715328 is 82351729728.

82792715328 is a `hidden beast` number, since 82 + 7 + 9 + 27 + 1 + 532 + 8 = 666.

It is a super-2 number, since 2×82792715328² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (82792715321) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 729901 + ... + 835667.

Almost surely, 2^82792715328 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 82792715328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123525601056).

82792715328 is an abundant number, since it is smaller than the sum of its proper divisors (164258486784).

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

82792715328 is a wasteful number, since it uses less digits than its factorization.

82792715328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105942 (or 105923 counting only the distinct ones).

The product of its digits is 3386880, while the sum is 54.

The spelling of 82792715328 in words is "eighty-two billion, seven hundred ninety-two million, seven hundred fifteen thousand, three hundred twenty-eight".