324828000 has 288 divisors, whose sum is σ = 1318524480. Its totient is φ = 74188800.

The previous prime is 324827947. The next prime is 324828001. The reversal of 324828000 is 828423.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (324828001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 251356 + ... + 252644.

It is an arithmetic number, because the mean of its divisors is an integer number (4578210).

Almost surely, 2^324828000 is an apocalyptic number.

324828000 is a gapful number since it is divisible by the number (30) 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 324828000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (659262240).

324828000 is an abundant number, since it is smaller than the sum of its proper divisors (993696480).

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

324828000 is a wasteful number, since it uses less digits than its factorization.

324828000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1327 (or 1306 counting only the distinct ones).

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

The square root of 324828000 is about 18022.9853243019. The cubic root of 324828000 is about 687.4131240086.

The spelling of 324828000 in words is "three hundred twenty-four million, eight hundred twenty-eight thousand".