11585728 has 56 divisors (see below), whose sum is σ = 28675584. Its totient is φ = 4512000.

The previous prime is 11585713. The next prime is 11585731. The reversal of 11585728 is 82758511.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3753 + ... + 6103.

It is an arithmetic number, because the mean of its divisors is an integer number (512064).

Almost surely, 2^11585728 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 11585728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14337792).

11585728 is an abundant number, since it is smaller than the sum of its proper divisors (17089856).

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

11585728 is a wasteful number, since it uses less digits than its factorization.

11585728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2381 (or 2371 counting only the distinct ones).

The product of its digits is 22400, while the sum is 37.

The square root of 11585728 is about 3403.7814265901. The cubic root of 11585728 is about 226.2773632747.

It can be divided in two parts, 1158 and 5728, that added together give a palindrome (6886).

The spelling of 11585728 in words is "eleven million, five hundred eighty-five thousand, seven hundred twenty-eight".