11806728 has 64 divisors (see below), whose sum is σ = 31328640. Its totient is φ = 3700224.

The previous prime is 11806723. The next prime is 11806747. The reversal of 11806728 is 82760811.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (11806723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40150 + ... + 40442.

It is an arithmetic number, because the mean of its divisors is an integer number (489510).

Almost surely, 2^11806728 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 11806728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15664320).

11806728 is an abundant number, since it is smaller than the sum of its proper divisors (19521912).

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

11806728 is a wasteful number, since it uses less digits than its factorization.

11806728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 33.

The square root of 11806728 is about 3436.0919661732. The cubic root of 11806728 is about 227.7070722618.

The spelling of 11806728 in words is "eleven million, eight hundred six thousand, seven hundred twenty-eight".