82628605696 has 144 divisors (see below), whose sum is σ = 213681395200. Its totient is φ = 30967640064.

The previous prime is 82628605693. The next prime is 82628605699. The reversal of 82628605696 is 69650682628.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (82628605693) and next prime (82628605699).

It is a self number, because there is not a number n which added to its sum of digits gives 82628605696.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82628605693) 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, 349285 + ... + 535963.

Almost surely, 2^82628605696 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 82628605696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106840697600).

82628605696 is an abundant number, since it is smaller than the sum of its proper divisors (131052789504).

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

82628605696 is a wasteful number, since it uses less digits than its factorization.

82628605696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186734 (or 186720 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 58.

The spelling of 82628605696 in words is "eighty-two billion, six hundred twenty-eight million, six hundred five thousand, six hundred ninety-six".