204833328 has 120 divisors (see below), whose sum is σ = 624500208. Its totient is φ = 57673728.

The previous prime is 204833297. The next prime is 204833339. The reversal of 204833328 is 823338402.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 171100 + ... + 172292.

Almost surely, 2^204833328 is an apocalyptic number.

204833328 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 204833328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312250104).

204833328 is an abundant number, since it is smaller than the sum of its proper divisors (419666880).

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

204833328 is a wasteful number, since it uses less digits than its factorization.

204833328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1291 (or 1278 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The square root of 204833328 is about 14311.9994410285. Note that the first 3 decimals coincide. The cubic root of 204833328 is about 589.4770123716.

The spelling of 204833328 in words is "two hundred four million, eight hundred thirty-three thousand, three hundred twenty-eight".