823282328 has 16 divisors (see below), whose sum is σ = 1683986760. Its totient is φ = 374219200.

The previous prime is 823282253. The next prime is 823282367.

It is a happy number.

823282328 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 823282291 and 823282300.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4677653 + ... + 4677828.

Almost surely, 2^823282328 is an apocalyptic number.

823282328 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

823282328 is an abundant number, since it is smaller than the sum of its proper divisors (860704432).

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

823282328 is a wasteful number, since it uses less digits than its factorization.

823282328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9355498 (or 9355494 counting only the distinct ones).

The product of its digits is 73728, while the sum is 38.

The square root of 823282328 is about 28692.8968213389. The cubic root of 823282328 is about 937.2373723139.

The spelling of 823282328 in words is "eight hundred twenty-three million, two hundred eighty-two thousand, three hundred twenty-eight".