11149728 has 96 divisors (see below), whose sum is σ = 31179456. Its totient is φ = 3483648.

The previous prime is 11149727. The next prime is 11149757. The reversal of 11149728 is 82794111.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (11149727) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 152700 + ... + 152772.

It is an arithmetic number, because the mean of its divisors is an integer number (324786).

Almost surely, 2^11149728 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 11149728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15589728).

11149728 is an abundant number, since it is smaller than the sum of its proper divisors (20029728).

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

11149728 is a wasteful number, since it uses less digits than its factorization.

11149728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 158 counting only the distinct ones).

The product of its digits is 4032, while the sum is 33.

The square root of 11149728 is about 3339.1208423775. The cubic root of 11149728 is about 223.4025319591.

The spelling of 11149728 in words is "eleven million, one hundred forty-nine thousand, seven hundred twenty-eight".