82262169728 has 72 divisors (see below), whose sum is σ = 166182393045. Its totient is φ = 40561600000.

The previous prime is 82262169721. The next prime is 82262169763. The reversal of 82262169728 is 82796126228.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 57098058304 + 25164111424 = 238952^2 + 158632^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=202808.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 82262169728.

It is not an unprimeable number, because it can be changed into a prime (82262169721) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 327737603 + ... + 327737853.

Almost surely, 2^82262169728 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 82262169728

82262169728 is an abundant number, since it is smaller than the sum of its proper divisors (83920223317).

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

82262169728 is an frugal number, since it uses more digits than its factorization.

82262169728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 718 (or 354 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 53.

The spelling of 82262169728 in words is "eighty-two billion, two hundred sixty-two million, one hundred sixty-nine thousand, seven hundred twenty-eight".