82635108528 has 320 divisors, whose sum is σ = 253012377600. Its totient is φ = 22756930560.

The previous prime is 82635108509. The next prime is 82635108557. The reversal of 82635108528 is 82580153628.

It is a super-2 number, since 2×82635108528² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 307193578 + ... + 307193846.

It is an arithmetic number, because the mean of its divisors is an integer number (790663680).

Almost surely, 2^82635108528 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 82635108528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126506188800).

82635108528 is an abundant number, since it is smaller than the sum of its proper divisors (170377269072).

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

82635108528 is a wasteful number, since it uses less digits than its factorization.

82635108528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 600 (or 594 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 48.

The spelling of 82635108528 in words is "eighty-two billion, six hundred thirty-five million, one hundred eight thousand, five hundred twenty-eight".