82772027728 has 80 divisors (see below), whose sum is σ = 182874059200. Its totient is φ = 36191525760.

The previous prime is 82772027683. The next prime is 82772027759.

82772027728 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (52).

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, 605923 + ... + 729853.

It is an arithmetic number, because the mean of its divisors is an integer number (2285925740).

Almost surely, 2^82772027728 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 82772027728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91437029600).

82772027728 is an abundant number, since it is smaller than the sum of its proper divisors (100102031472).

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

82772027728 is a wasteful number, since it uses less digits than its factorization.

82772027728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123997 (or 123965 counting only the distinct ones).

The product of its (nonzero) digits is 2458624, while the sum is 52.

The spelling of 82772027728 in words is "eighty-two billion, seven hundred seventy-two million, twenty-seven thousand, seven hundred twenty-eight".