83282621328 has 120 divisors (see below), whose sum is σ = 243314635200. Its totient is φ = 26542391040.

The previous prime is 83282621299. The next prime is 83282621347. The reversal of 83282621328 is 82312628238.

It is a happy number.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11028498 + ... + 11036046.

It is an arithmetic number, because the mean of its divisors is an integer number (2027621960).

Almost surely, 2^83282621328 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 83282621328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121657317600).

83282621328 is an abundant number, since it is smaller than the sum of its proper divisors (160032013872).

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

83282621328 is a wasteful number, since it uses less digits than its factorization.

83282621328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10917 (or 10908 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The spelling of 83282621328 in words is "eighty-three billion, two hundred eighty-two million, six hundred twenty-one thousand, three hundred twenty-eight".