82745054728 has 64 divisors (see below), whose sum is σ = 178842562560. Its totient is φ = 35156249856.

The previous prime is 82745054699. The next prime is 82745054729.

82745054728 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (82745054729) 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, 11468050 + ... + 11475262.

It is an arithmetic number, because the mean of its divisors is an integer number (2794415040).

Almost surely, 2^82745054728 is an apocalyptic number.

It is an amenable number.

82745054728 is an abundant number, since it is smaller than the sum of its proper divisors (96097507832).

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

82745054728 is a wasteful number, since it uses less digits than its factorization.

82745054728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8966 (or 8962 counting only the distinct ones).

The product of its (nonzero) digits is 5017600, while the sum is 52.

The spelling of 82745054728 in words is "eighty-two billion, seven hundred forty-five million, fifty-four thousand, seven hundred twenty-eight".