823328 has 24 divisors (see below), whose sum is σ = 1769040. Its totient is φ = 374080.

The previous prime is 823309. The next prime is 823337.

823328 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 823297 and 823306.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 823328.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 818 + ... + 1521.

It is an arithmetic number, because the mean of its divisors is an integer number (73710).

2⁸²³³²⁸ is an apocalyptic number.

823328 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

823328 is an abundant number, since it is smaller than the sum of its proper divisors (945712).

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

823328 is a wasteful number, since it uses less digits than its factorization.

823328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2360 (or 2352 counting only the distinct ones).

The product of its digits is 2304, while the sum is 26.

The square root of 823328 is about 907.3742337096. The cubic root of 823328 is about 93.7254703231.

It can be divided in two parts, 8 and 23328, that multiplied together give a square (186624 = 432²).

The spelling of 823328 in words is "eight hundred twenty-three thousand, three hundred twenty-eight".