206828406 has 48 divisors (see below), whose sum is σ = 468290160. Its totient is φ = 65889600.

The previous prime is 206828389. The next prime is 206828417. The reversal of 206828406 is 604828602.

206828406 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50761 + ... + 54683.

It is an arithmetic number, because the mean of its divisors is an integer number (9756045).

Almost surely, 2^206828406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 206828406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234145080).

206828406 is an abundant number, since it is smaller than the sum of its proper divisors (261461754).

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

206828406 is a wasteful number, since it uses less digits than its factorization.

206828406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4061 (or 4058 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 206828406 is about 14381.5300298682. The cubic root of 206828406 is about 591.3846688788.

The spelling of 206828406 in words is "two hundred six million, eight hundred twenty-eight thousand, four hundred six".