8231221328 has 80 divisors (see below), whose sum is σ = 17618515200. Its totient is φ = 3694256640.

The previous prime is 8231221321. The next prime is 8231221367.

8231221328 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 8231221294 and 8231221303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8231221321) 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, 7462025 + ... + 7463127.

It is an arithmetic number, because the mean of its divisors is an integer number (220231440).

Almost surely, 2^8231221328 is an apocalyptic number.

8231221328 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 8231221328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8809257600).

8231221328 is an abundant number, since it is smaller than the sum of its proper divisors (9387293872).

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

8231221328 is a wasteful number, since it uses less digits than its factorization.

8231221328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1620 (or 1614 counting only the distinct ones).

The product of its digits is 9216, while the sum is 32.

The square root of 8231221328 is about 90726.0785441540. The cubic root of 8231221328 is about 2019.0857320602.

The spelling of 8231221328 in words is "eight billion, two hundred thirty-one million, two hundred twenty-one thousand, three hundred twenty-eight".