11728305 has 12 divisors (see below), whose sum is σ = 20329140. Its totient is φ = 6255072.

The previous prime is 11728289. The next prime is 11728307. The reversal of 11728305 is 50382711.

11728305 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 8946081 + 2782224 = 2991^2 + 1668^2 .

It is not a de Polignac number, because 11728305 - 2⁴ = 11728289 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11728307) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 130270 + ... + 130359.

It is an arithmetic number, because the mean of its divisors is an integer number (1694095).

Almost surely, 2^11728305 is an apocalyptic number.

11728305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11728305 is a deficient number, since it is larger than the sum of its proper divisors (8600835).

11728305 is a wasteful number, since it uses less digits than its factorization.

11728305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260640 (or 260637 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 11728305 is about 3424.6612971212. The cubic root of 11728305 is about 227.2017909768.

The spelling of 11728305 in words is "eleven million, seven hundred twenty-eight thousand, three hundred five".