82628882628 has 48 divisors (see below), whose sum is σ = 198074580480. Its totient is φ = 26790027264.

The previous prime is 82628882569. The next prime is 82628882629.

82628882628 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (82628882629) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1450125 + ... + 1506027.

It is an arithmetic number, because the mean of its divisors is an integer number (4126553760).

Almost surely, 2^82628882628 is an apocalyptic number.

It is an amenable number.

82628882628 is an abundant number, since it is smaller than the sum of its proper divisors (115445697852).

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

82628882628 is a wasteful number, since it uses less digits than its factorization.

82628882628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59276 (or 59274 counting only the distinct ones).

The product of its digits is 18874368, while the sum is 60.

The spelling of 82628882628 in words is "eighty-two billion, six hundred twenty-eight million, eight hundred eighty-two thousand, six hundred twenty-eight".