11828727 has 16 divisors (see below), whose sum is σ = 17683680. Its totient is φ = 7814016.

The previous prime is 11828683. The next prime is 11828767. The reversal of 11828727 is 72782811.

It is a happy number.

It is not a de Polignac number, because 11828727 - 2¹⁰ = 11827703 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11828691 and 11828700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11828767) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1113 + ... + 4989.

It is an arithmetic number, because the mean of its divisors is an integer number (1105230).

Almost surely, 2^11828727 is an apocalyptic number.

11828727 is a deficient number, since it is larger than the sum of its proper divisors (5854953).

11828727 is a wasteful number, since it uses less digits than its factorization.

11828727 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3999 (or 3993 counting only the distinct ones).

The product of its digits is 12544, while the sum is 36.

The square root of 11828727 is about 3439.2916421845. The cubic root of 11828727 is about 227.8484103157.

The spelling of 11828727 in words is "eleven million, eight hundred twenty-eight thousand, seven hundred twenty-seven".