82309913728 has 128 divisors (see below), whose sum is σ = 192336618240. Its totient is φ = 34358169600.

The previous prime is 82309913701. The next prime is 82309913783. The reversal of 82309913728 is 82731990328.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5622258 + ... + 5636878.

It is an arithmetic number, because the mean of its divisors is an integer number (1502629830).

Almost surely, 2^82309913728 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 82309913728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96168309120).

82309913728 is an abundant number, since it is smaller than the sum of its proper divisors (110026704512).

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

82309913728 is a wasteful number, since it uses less digits than its factorization.

82309913728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14806 (or 14794 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 52.

The spelling of 82309913728 in words is "eighty-two billion, three hundred nine million, nine hundred thirteen thousand, seven hundred twenty-eight".