206928 has 40 divisors (see below), whose sum is σ = 595200. Its totient is φ = 68832.

The previous prime is 206923. The next prime is 206933. The reversal of 206928 is 829602.

It is an interprime number because it is at equal distance from previous prime (206923) and next prime (206933).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (206923) by changing a digit.

206928 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 193 + ... + 671.

It is an arithmetic number, because the mean of its divisors is an integer number (14880).

2²⁰⁶⁹²⁸ is an apocalyptic number.

206928 is the 288-th heptagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 206928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297600).

206928 is an abundant number, since it is smaller than the sum of its proper divisors (388272).

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

206928 is a wasteful number, since it uses less digits than its factorization.

206928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 206928 is about 454.8933941046. The cubic root of 206928 is about 59.1479576722.

The spelling of 206928 in words is "two hundred six thousand, nine hundred twenty-eight".