828384000 has 144 divisors (see below), whose sum is σ = 2751796320. Its totient is φ = 220876800.

The previous prime is 828383993. The next prime is 828384019. The reversal of 828384000 is 483828.

It is a super-3 number, since 3×828384000³ (a number of 28 digits) contains 333 as substring.

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, 91686 + ... + 100314.

Almost surely, 2^828384000 is an apocalyptic number.

828384000 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 828384000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1375898160).

828384000 is an abundant number, since it is smaller than the sum of its proper divisors (1923412320).

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

828384000 is an equidigital number, since it uses as much as digits as its factorization.

828384000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8663 (or 8639 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 828384000 is about 28781.6608276868. The cubic root of 828384000 is about 939.1693280248.

The spelling of 828384000 in words is "eight hundred twenty-eight million, three hundred eighty-four thousand".