828568320 has 144 divisors (see below), whose sum is σ = 2668646400. Its totient is φ = 219082752.

The previous prime is 828568291. The next prime is 828568327. The reversal of 828568320 is 23865828.

It is not an unprimeable number, because it can be changed into a prime (828568327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 486831 + ... + 488529.

Almost surely, 2^828568320 is an apocalyptic number.

828568320 is a gapful number since it is divisible by the number (80) 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 828568320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1334323200).

828568320 is an abundant number, since it is smaller than the sum of its proper divisors (1840078080).

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

828568320 is a wasteful number, since it uses less digits than its factorization.

828568320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1850 (or 1836 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The square root of 828568320 is about 28784.8626885730. The cubic root of 828568320 is about 939.2389796409.

The spelling of 828568320 in words is "eight hundred twenty-eight million, five hundred sixty-eight thousand, three hundred twenty".