823969328 has 80 divisors (see below), whose sum is σ = 2080491840. Its totient is φ = 306782208.

The previous prime is 823969291. The next prime is 823969331.

823969328 is nontrivially palindromic in base 10.

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, 8108 + ... + 41396.

It is an arithmetic number, because the mean of its divisors is an integer number (26006148).

Almost surely, 2^823969328 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 823969328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1040245920).

823969328 is an abundant number, since it is smaller than the sum of its proper divisors (1256522512).

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

823969328 is a wasteful number, since it uses less digits than its factorization.

823969328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33334 (or 33328 counting only the distinct ones).

The product of its digits is 1119744, while the sum is 50.

The square root of 823969328 is about 28704.8659289675. The cubic root of 823969328 is about 937.4979969854.

The spelling of 823969328 in words is "eight hundred twenty-three million, nine hundred sixty-nine thousand, three hundred twenty-eight".