82789098728 has 128 divisors (see below), whose sum is σ = 194347745280. Its totient is φ = 32242129920.

The previous prime is 82789098701. The next prime is 82789098731.

82789098728 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (68).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13779101 + ... + 13785107.

It is an arithmetic number, because the mean of its divisors is an integer number (1518341760).

Almost surely, 2^82789098728 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 82789098728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97173872640).

82789098728 is an abundant number, since it is smaller than the sum of its proper divisors (111558646552).

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

82789098728 is a wasteful number, since it uses less digits than its factorization.

82789098728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6535 (or 6531 counting only the distinct ones).

The product of its (nonzero) digits is 65028096, while the sum is 68.

The spelling of 82789098728 in words is "eighty-two billion, seven hundred eighty-nine million, ninety-eight thousand, seven hundred twenty-eight".