8282093838288 has 80 divisors (see below), whose sum is σ = 21643456188480. Its totient is φ = 2728764223488.

The previous prime is 8282093838287. The next prime is 8282093838443. The reversal of 8282093838288 is 8828383902828.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8282093838283) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2534158 + ... + 4794386.

It is an arithmetic number, because the mean of its divisors is an integer number (270543202356).

Almost surely, 2^{8282093838288} 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 8282093838288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10821728094240).

8282093838288 is an abundant number, since it is smaller than the sum of its proper divisors (13361362350192).

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

8282093838288 is a wasteful number, since it uses less digits than its factorization.

8282093838288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2261124 (or 2261118 counting only the distinct ones).

The product of its (nonzero) digits is 169869312, while the sum is 69.

The spelling of 8282093838288 in words is "eight trillion, two hundred eighty-two billion, ninety-three million, eight hundred thirty-eight thousand, two hundred eighty-eight".