823984128 has 204 divisors, whose sum is σ = 2617225728. Its totient is φ = 247726080.

The previous prime is 823984127. The next prime is 823984151. The reversal of 823984128 is 821489328.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (823984127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6488001 + ... + 6488127.

Almost surely, 2^823984128 is an apocalyptic number.

823984128 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 823984128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1308612864).

823984128 is an abundant number, since it is smaller than the sum of its proper divisors (1793241600).

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

823984128 is a wasteful number, since it uses less digits than its factorization.

823984128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 143 counting only the distinct ones).

The product of its digits is 221184, while the sum is 45.

The square root of 823984128 is about 28705.1237238232. The cubic root of 823984128 is about 937.5036100128.

The spelling of 823984128 in words is "eight hundred twenty-three million, nine hundred eighty-four thousand, one hundred twenty-eight".