82921428288 has 84 divisors (see below), whose sum is σ = 238353199188. Its totient is φ = 27562106880.

The previous prime is 82921428269. The next prime is 82921428329. The reversal of 82921428288 is 88282412928.

It can be written as a sum of positive squares in 2 ways, for example, as 45195358464 + 37726069824 = 212592^2 + 194232^2 .

It is a super-2 number, since 2×82921428288² (a number of 23 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 583 + ... + 407238.

Almost surely, 2^82921428288 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 82921428288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119176599594).

82921428288 is an abundant number, since it is smaller than the sum of its proper divisors (155431770900).

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

82921428288 is a wasteful number, since it uses less digits than its factorization.

82921428288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408192 (or 408179 counting only the distinct ones).

The product of its digits is 2359296, while the sum is 54.

The spelling of 82921428288 in words is "eighty-two billion, nine hundred twenty-one million, four hundred twenty-eight thousand, two hundred eighty-eight".