828321984 has 336 divisors, whose sum is σ = 2935183360. Its totient is φ = 224156160.

The previous prime is 828321973. The next prime is 828322003. The reversal of 828321984 is 489123828.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×828321984² = 1372234618355392512, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17623849 + ... + 17623895.

Almost surely, 2^828321984 is an apocalyptic number.

828321984 is a gapful number since it is divisible by the number (84) 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 828321984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1467591680).

828321984 is an abundant number, since it is smaller than the sum of its proper divisors (2106861376).

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

828321984 is a wasteful number, since it uses less digits than its factorization.

828321984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 90 counting only the distinct ones).

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

The square root of 828321984 is about 28780.5834548225. The cubic root of 828321984 is about 939.1458908353.

The spelling of 828321984 in words is "eight hundred twenty-eight million, three hundred twenty-one thousand, nine hundred eighty-four".