206251728 has 80 divisors (see below), whose sum is σ = 550440960. Its totient is φ = 66515328.

The previous prime is 206251723. The next prime is 206251729. The reversal of 206251728 is 827152602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (206251723) 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, 189201 + ... + 190287.

It is an arithmetic number, because the mean of its divisors is an integer number (6880512).

Almost surely, 2^206251728 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 206251728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275220480).

206251728 is an abundant number, since it is smaller than the sum of its proper divisors (344189232).

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

206251728 is a wasteful number, since it uses less digits than its factorization.

206251728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1224 (or 1218 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 206251728 is about 14361.4667774570. The cubic root of 206251728 is about 590.8345252642.

The spelling of 206251728 in words is "two hundred six million, two hundred fifty-one thousand, seven hundred twenty-eight".