11128224 has 48 divisors (see below), whose sum is σ = 30754080. Its totient is φ = 3513600.

The previous prime is 11128213. The next prime is 11128241. The reversal of 11128224 is 42282111.

It is a tau number, because it is divible by the number of its divisors (48).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 11128224.

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 7 ways as a sum of consecutive naturals, for example, 1227 + ... + 4874.

It is an arithmetic number, because the mean of its divisors is an integer number (640710).

Almost surely, 2^11128224 is an apocalyptic number.

It is an amenable number.

11128224 is an abundant number, since it is smaller than the sum of its proper divisors (19625856).

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

11128224 is a wasteful number, since it uses less digits than its factorization.

11128224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6133 (or 6125 counting only the distinct ones).

The product of its digits is 256, while the sum is 21.

The square root of 11128224 is about 3335.8992790550. The cubic root of 11128224 is about 223.2588172480.

The spelling of 11128224 in words is "eleven million, one hundred twenty-eight thousand, two hundred twenty-four".