204828000 has 288 divisors, whose sum is σ = 733797792. Its totient is φ = 49920000.

The previous prime is 204827983. The next prime is 204828007. The reversal of 204828000 is 828402.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204828007) by changing a digit.

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, 2027950 + ... + 2028050.

It is an arithmetic number, because the mean of its divisors is an integer number (2547909).

Almost surely, 2^204828000 is an apocalyptic number.

204828000 is a gapful number since it is divisible by the number (20) 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 204828000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366898896).

204828000 is an abundant number, since it is smaller than the sum of its proper divisors (528969792).

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

204828000 is a wasteful number, since it uses less digits than its factorization.

204828000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 204828000 is about 14311.8133023038. The cubic root of 204828000 is about 589.4719012880.

It can be divided in two parts, 20482 and 8000, that added together give a palindrome (28482).

The spelling of 204828000 in words is "two hundred four million, eight hundred twenty-eight thousand".