205438728 has 64 divisors (see below), whose sum is σ = 569517120. Its totient is φ = 61228800.

The previous prime is 205438721. The next prime is 205438733. The reversal of 205438728 is 827834502.

It is not an unprimeable number, because it can be changed into a prime (205438721) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9726 + ... + 22482.

It is an arithmetic number, because the mean of its divisors is an integer number (8898705).

Almost surely, 2^205438728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205438728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284758560).

205438728 is an abundant number, since it is smaller than the sum of its proper divisors (364078392).

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

205438728 is a wasteful number, since it uses less digits than its factorization.

205438728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12838 (or 12834 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 39.

The square root of 205438728 is about 14333.1339210935. The cubic root of 205438728 is about 590.0571887493.

The spelling of 205438728 in words is "two hundred five million, four hundred thirty-eight thousand, seven hundred twenty-eight".