82322220288 has 648 divisors, whose sum is σ = 284498555040. Its totient is φ = 21052416000.

The previous prime is 82322220209. The next prime is 82322220289. The reversal of 82322220288 is 88202222328.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82322220289) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 459900583 + ... + 459900761.

It is an arithmetic number, because the mean of its divisors is an integer number (439040980).

Almost surely, 2^82322220288 is an apocalyptic number.

82322220288 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82322220288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142249277520).

82322220288 is an abundant number, since it is smaller than the sum of its proper divisors (202176334752).

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

82322220288 is a wasteful number, since it uses less digits than its factorization.

82322220288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 39.

It can be divided in two parts, 823 and 22220288, that added together give a triangular number (22221111 = T₆₆₆₆).

The spelling of 82322220288 in words is "eighty-two billion, three hundred twenty-two million, two hundred twenty thousand, two hundred eighty-eight".