11506728 has 48 divisors (see below), whose sum is σ = 29672640. Its totient is φ = 3716800.

The previous prime is 11506709. The next prime is 11506751. The reversal of 11506728 is 82760511.

It is a junction number, because it is equal to n+sod(n) for n = 11506695 and 11506704.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 113878 + ... + 113978.

It is an arithmetic number, because the mean of its divisors is an integer number (618180).

Almost surely, 2^11506728 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 11506728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14836320).

11506728 is an abundant number, since it is smaller than the sum of its proper divisors (18165912).

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

11506728 is a wasteful number, since it uses less digits than its factorization.

11506728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 30.

The square root of 11506728 is about 3392.1568359968. The cubic root of 11506728 is about 225.7618814486.

The spelling of 11506728 in words is "eleven million, five hundred six thousand, seven hundred twenty-eight".