205728306 has 64 divisors (see below), whose sum is σ = 486051840. Its totient is φ = 56833920.

The previous prime is 205728301. The next prime is 205728329. The reversal of 205728306 is 603827502.

It is not an unprimeable number, because it can be changed into a prime (205728301) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 175101 + ... + 176271.

It is an arithmetic number, because the mean of its divisors is an integer number (7594560).

Almost surely, 2^205728306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205728306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243025920).

205728306 is an abundant number, since it is smaller than the sum of its proper divisors (280323534).

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

205728306 is a wasteful number, since it uses less digits than its factorization.

205728306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1319.

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 205728306 is about 14343.2320625443. The cubic root of 205728306 is about 590.3342987218.

The spelling of 205728306 in words is "two hundred five million, seven hundred twenty-eight thousand, three hundred six".