204526728 has 256 divisors, whose sum is σ = 703296000. Its totient is φ = 53747712.

The previous prime is 204526709. The next prime is 204526733. The reversal of 204526728 is 827625402.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 204526692 and 204526701.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1876338 + ... + 1876446.

It is an arithmetic number, because the mean of its divisors is an integer number (2747250).

Almost surely, 2^204526728 is an apocalyptic number.

204526728 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 204526728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351648000).

204526728 is an abundant number, since it is smaller than the sum of its proper divisors (498769272).

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

204526728 is a wasteful number, since it uses less digits than its factorization.

204526728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 204526728 is about 14301.2841381465. The cubic root of 204526728 is about 589.1827505206.

The spelling of 204526728 in words is "two hundred four million, five hundred twenty-six thousand, seven hundred twenty-eight".