8282821312 has 112 divisors (see below), whose sum is σ = 17627803200. Its totient is φ = 3854090240.

The previous prime is 8282821307. The next prime is 8282821319. The reversal of 8282821312 is 2131282828.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (8282821319) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 6771933 + ... + 6773155.

It is an arithmetic number, because the mean of its divisors is an integer number (157391100).

Almost surely, 2^8282821312 is an apocalyptic number.

8282821312 is a gapful number since it is divisible by the number (82) 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 8282821312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8813901600).

8282821312 is an abundant number, since it is smaller than the sum of its proper divisors (9344981888).

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

8282821312 is a wasteful number, since it uses less digits than its factorization.

8282821312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1394 (or 1384 counting only the distinct ones).

The product of its digits is 24576, while the sum is 37.

The square root of 8282821312 is about 91010.0066586087. The cubic root of 8282821312 is about 2023.2960364363.

The spelling of 8282821312 in words is "eight billion, two hundred eighty-two million, eight hundred twenty-one thousand, three hundred twelve".