82336728222 has 72 divisors (see below), whose sum is σ = 207801716304. Its totient is φ = 23080816512.

The previous prime is 82336728217. The next prime is 82336728289. The reversal of 82336728222 is 22282763328.

82336728222 is a `hidden beast` number, since 8 + 2 + 3 + 367 + 282 + 2 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 237618 + ... + 470250.

Almost surely, 2^82336728222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82336728222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103900858152).

82336728222 is an abundant number, since it is smaller than the sum of its proper divisors (125464988082).

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

82336728222 is a wasteful number, since it uses less digits than its factorization.

82336728222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232754 (or 232698 counting only the distinct ones).

The product of its digits is 774144, while the sum is 45.

The spelling of 82336728222 in words is "eighty-two billion, three hundred thirty-six million, seven hundred twenty-eight thousand, two hundred twenty-two".