828491328 has 420 divisors, whose sum is σ = 3019308160. Its totient is φ = 219967488.

The previous prime is 828491317. The next prime is 828491329. The reversal of 828491328 is 823194828.

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

Its product of digits (221184) is a multiple of the sum of its prime divisors (108).

It is not an unprimeable number, because it can be changed into a prime (828491329) by changing a digit.

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 59 ways as a sum of consecutive naturals, for example, 10487193 + ... + 10487271.

Almost surely, 2^828491328 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 828491328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1509654080).

828491328 is an abundant number, since it is smaller than the sum of its proper divisors (2190816832).

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

828491328 is a wasteful number, since it uses less digits than its factorization.

828491328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 108 counting only the distinct ones).

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

The square root of 828491328 is about 28783.5252879143. The cubic root of 828491328 is about 939.2098868368.

The spelling of 828491328 in words is "eight hundred twenty-eight million, four hundred ninety-one thousand, three hundred twenty-eight".