205369728 has 64 divisors (see below), whose sum is σ = 547899120. Its totient is φ = 68157440.

The previous prime is 205369711. The next prime is 205369729. The reversal of 205369728 is 827963502.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 205369728.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205369729) 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, 97648 + ... + 99728.

Almost surely, 2^205369728 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 205369728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273949560).

205369728 is an abundant number, since it is smaller than the sum of its proper divisors (342529392).

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

205369728 is a wasteful number, since it uses less digits than its factorization.

205369728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2355 (or 2343 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 205369728 is about 14330.7267087193. The cubic root of 205369728 is about 589.9911211917.

The spelling of 205369728 in words is "two hundred five million, three hundred sixty-nine thousand, seven hundred twenty-eight".