82631813628 has 96 divisors (see below), whose sum is σ = 237838680576. Its totient is φ = 21743684352.

The previous prime is 82631813611. The next prime is 82631813653.

82631813628 is nontrivially palindromic in base 10.

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 31 ways as a sum of consecutive naturals, for example, 398350 + ... + 569162.

It is an arithmetic number, because the mean of its divisors is an integer number (2477486256).

Almost surely, 2^82631813628 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 82631813628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118919340288).

82631813628 is an abundant number, since it is smaller than the sum of its proper divisors (155206866948).

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

82631813628 is a wasteful number, since it uses less digits than its factorization.

82631813628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171283 (or 171281 counting only the distinct ones).

The product of its digits is 663552, while the sum is 48.

The spelling of 82631813628 in words is "eighty-two billion, six hundred thirty-one million, eight hundred thirteen thousand, six hundred twenty-eight".