205738528 has 48 divisors (see below), whose sum is σ = 424894680. Its totient is φ = 97929216.

The previous prime is 205738493. The next prime is 205738529. The reversal of 205738528 is 825837502.

It can be written as a sum of positive squares in 4 ways, for example, as 200845584 + 4892944 = 14172^2 + 2212^2 .

It is not an unprimeable number, because it can be changed into a prime (205738529) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 66226 + ... + 69262.

Almost surely, 2^205738528 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 205738528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212447340).

205738528 is an abundant number, since it is smaller than the sum of its proper divisors (219156152).

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

205738528 is a wasteful number, since it uses less digits than its factorization.

205738528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3149 (or 3141 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 40.

The square root of 205738528 is about 14343.5883934251. The cubic root of 205738528 is about 590.3440758519.

The spelling of 205738528 in words is "two hundred five million, seven hundred thirty-eight thousand, five hundred twenty-eight".