82769896728 has 96 divisors (see below), whose sum is σ = 226907825040. Its totient is φ = 27254073600.

The previous prime is 82769896723. The next prime is 82769896777.

82769896728 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82769896723) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3208650 + ... + 3234342.

Almost surely, 2^82769896728 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 82769896728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113453912520).

82769896728 is an abundant number, since it is smaller than the sum of its proper divisors (144137928312).

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

82769896728 is a wasteful number, since it uses less digits than its factorization.

82769896728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26249 (or 26242 counting only the distinct ones).

The product of its digits is 292626432, while the sum is 72.

The spelling of 82769896728 in words is "eighty-two billion, seven hundred sixty-nine million, eight hundred ninety-six thousand, seven hundred twenty-eight".