823834438328 has 64 divisors (see below), whose sum is σ = 1688256743040. Its totient is φ = 373772880000.

The previous prime is 823834438309. The next prime is 823834438337.

823834438328 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×823834438328² (a number of 25 digits) contains 22 as substring.

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, 167070023 + ... + 167074953.

It is an arithmetic number, because the mean of its divisors is an integer number (26379011610).

Almost surely, 2^823834438328 is an apocalyptic number.

823834438328 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

823834438328 is an abundant number, since it is smaller than the sum of its proper divisors (864422304712).

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

823834438328 is a wasteful number, since it uses less digits than its factorization.

823834438328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8100 (or 8096 counting only the distinct ones).

The product of its digits is 21233664, while the sum is 56.

The spelling of 823834438328 in words is "eight hundred twenty-three billion, eight hundred thirty-four million, four hundred thirty-eight thousand, three hundred twenty-eight".