821332233128 has 64 divisors (see below), whose sum is σ = 1691722713600. Its totient is φ = 370731142080.

The previous prime is 821332233109. The next prime is 821332233133.

821332233128 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 821332233091 and 821332233100.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17519303 + ... + 17566121.

It is an arithmetic number, because the mean of its divisors is an integer number (26433167400).

Almost surely, 2^821332233128 is an apocalyptic number.

821332233128 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 821332233128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (845861356800).

821332233128 is an abundant number, since it is smaller than the sum of its proper divisors (870390480472).

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

821332233128 is a wasteful number, since it uses less digits than its factorization.

821332233128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48222 (or 48218 counting only the distinct ones).

The product of its digits is 82944, while the sum is 38.

The spelling of 821332233128 in words is "eight hundred twenty-one billion, three hundred thirty-two million, two hundred thirty-three thousand, one hundred twenty-eight".