828324000 has 576 divisors, whose sum is σ = 3556949760. Its totient is φ = 178329600.

The previous prime is 828323983. The next prime is 828324011. The reversal of 828324000 is 423828.

It is a super-2 number, since 2×828324000² = 1372241297952000000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4787914 + ... + 4788086.

It is an arithmetic number, because the mean of its divisors is an integer number (6175260).

Almost surely, 2^828324000 is an apocalyptic number.

828324000 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 828324000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1778474880).

828324000 is an abundant number, since it is smaller than the sum of its proper divisors (2728625760).

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

828324000 is a wasteful number, since it uses less digits than its factorization.

828324000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 828324000 is about 28780.6184784136. The cubic root of 828324000 is about 939.1466527437.

Adding to 828324000 its reverse (423828), we get a palindrome (828747828).

The spelling of 828324000 in words is "eight hundred twenty-eight million, three hundred twenty-four thousand".