11038728 has 64 divisors (see below), whose sum is σ = 29329920. Its totient is φ = 3456000.

The previous prime is 11038721. The next prime is 11038733. The reversal of 11038728 is 82783011.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 11038695 and 11038704.

It is not an unprimeable number, because it can be changed into a prime (11038721) 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, 27328 + ... + 27728.

It is an arithmetic number, because the mean of its divisors is an integer number (458280).

Almost surely, 2^11038728 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 11038728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14664960).

11038728 is an abundant number, since it is smaller than the sum of its proper divisors (18291192).

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

11038728 is a wasteful number, since it uses less digits than its factorization.

11038728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 30.

The square root of 11038728 is about 3322.4581261470. The cubic root of 11038728 is about 222.6587042623.

The spelling of 11038728 in words is "eleven million, thirty-eight thousand, seven hundred twenty-eight".