204316728 has 288 divisors, whose sum is σ = 706070400. Its totient is φ = 48090240.

The previous prime is 204316699. The next prime is 204316757. The reversal of 204316728 is 827613402.

It is an interprime number because it is at equal distance from previous prime (204316699) and next prime (204316757).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8883325 + ... + 8883347.

Almost surely, 2^204316728 is an apocalyptic number.

204316728 is a gapful number since it is divisible by the number (28) 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 204316728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353035200).

204316728 is an abundant number, since it is smaller than the sum of its proper divisors (501753672).

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

204316728 is a wasteful number, since it uses less digits than its factorization.

204316728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 204316728 is about 14293.9402545274. The cubic root of 204316728 is about 588.9810315742.

The spelling of 204316728 in words is "two hundred four million, three hundred sixteen thousand, seven hundred twenty-eight".