82332223328 has 192 divisors, whose sum is σ = 180136716480. Its totient is φ = 36900864000.

The previous prime is 82332223297. The next prime is 82332223331.

82332223328 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a junction number, because it is equal to n+sod(n) for n = 82332223291 and 82332223300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 133439276 + ... + 133439892.

It is an arithmetic number, because the mean of its divisors is an integer number (938212065).

Almost surely, 2^82332223328 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 82332223328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90068358240).

82332223328 is an abundant number, since it is smaller than the sum of its proper divisors (97804493152).

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

82332223328 is a wasteful number, since it uses less digits than its factorization.

82332223328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 841 (or 833 counting only the distinct ones).

The product of its digits is 165888, while the sum is 38.

The spelling of 82332223328 in words is "eighty-two billion, three hundred thirty-two million, two hundred twenty-three thousand, three hundred twenty-eight".