82232948728 has 64 divisors (see below), whose sum is σ = 179306035200. Its totient is φ = 34624886400.

The previous prime is 82232948713. The next prime is 82232948753. The reversal of 82232948728 is 82784923228.

It is a congruent number.

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, 6439726 + ... + 6452482.

It is an arithmetic number, because the mean of its divisors is an integer number (2801656800).

Almost surely, 2^82232948728 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 82232948728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89653017600).

82232948728 is an abundant number, since it is smaller than the sum of its proper divisors (97073086472).

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

82232948728 is a wasteful number, since it uses less digits than its factorization.

82232948728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14780 (or 14776 counting only the distinct ones).

The product of its digits is 6193152, while the sum is 55.

The spelling of 82232948728 in words is "eighty-two billion, two hundred thirty-two million, nine hundred forty-eight thousand, seven hundred twenty-eight".