206032728 has 64 divisors (see below), whose sum is σ = 567544320. Its totient is φ = 61808000.

The previous prime is 206032721. The next prime is 206032777. The reversal of 206032728 is 827230602.

206032728 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 206032695 and 206032704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (206032721) 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, 22801 + ... + 30527.

It is an arithmetic number, because the mean of its divisors is an integer number (8867880).

Almost surely, 2^206032728 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 206032728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283772160).

206032728 is an abundant number, since it is smaller than the sum of its proper divisors (361511592).

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

206032728 is a wasteful number, since it uses less digits than its factorization.

206032728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7848 (or 7844 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 206032728 is about 14353.8401830312. The cubic root of 206032728 is about 590.6253333443.

The spelling of 206032728 in words is "two hundred six million, thirty-two thousand, seven hundred twenty-eight".