823323328 has 56 divisors (see below), whose sum is σ = 1733866992. Its totient is φ = 386555904.

The previous prime is 823323323. The next prime is 823323331.

It is a happy number.

823323328 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×823323328² = 1355722604857991168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 823323293 and 823323302.

It is not an unprimeable number, because it can be changed into a prime (823323323) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 931975 + ... + 932857.

Almost surely, 2^823323328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 823323328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (866933496).

823323328 is an abundant number, since it is smaller than the sum of its proper divisors (910543664).

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

823323328 is a wasteful number, since it uses less digits than its factorization.

823323328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1769 (or 1759 counting only the distinct ones).

The product of its digits is 41472, while the sum is 34.

The square root of 823323328 is about 28693.6112749859. The cubic root of 823323328 is about 937.2529304009.

The spelling of 823323328 in words is "eight hundred twenty-three million, three hundred twenty-three thousand, three hundred twenty-eight".