823013310328 has 64 divisors (see below), whose sum is σ = 1727058412800. Its totient is φ = 364526657280.

The previous prime is 823013310263. The next prime is 823013310377.

823013310328 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 823013310293 and 823013310302.

It is a congruent number.

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, 238588 + ... + 1304971.

It is an arithmetic number, because the mean of its divisors is an integer number (26985287700).

Almost surely, 2^823013310328 is an apocalyptic number.

823013310328 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

823013310328 is an abundant number, since it is smaller than the sum of its proper divisors (904045102472).

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

823013310328 is a wasteful number, since it uses less digits than its factorization.

823013310328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1543732 (or 1543728 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

The spelling of 823013310328 in words is "eight hundred twenty-three billion, thirteen million, three hundred ten thousand, three hundred twenty-eight".