82623632628 has 24 divisors (see below), whose sum is σ = 204128975232. Its totient is φ = 25921139584.

The previous prime is 82623632603. The next prime is 82623632653.

82623632628 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (82623632603) and next prime (82623632653).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 202508700 + ... + 202509107.

It is an arithmetic number, because the mean of its divisors is an integer number (8505373968).

Almost surely, 2^82623632628 is an apocalyptic number.

It is an amenable number.

82623632628 is an abundant number, since it is smaller than the sum of its proper divisors (121505342604).

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

82623632628 is a wasteful number, since it uses less digits than its factorization.

82623632628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405017831 (or 405017829 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 48.

The spelling of 82623632628 in words is "eighty-two billion, six hundred twenty-three million, six hundred thirty-two thousand, six hundred twenty-eight".