11228544 has 144 divisors (see below), whose sum is σ = 35364420. Its totient is φ = 3545856.

The previous prime is 11228543. The next prime is 11228561. The reversal of 11228544 is 44582211.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

11228544 is a `hidden beast` number, since 112 + 2 + 8 + 544 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11228543) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 590967 + ... + 590985.

Almost surely, 2^11228544 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 11228544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17682210).

11228544 is an abundant number, since it is smaller than the sum of its proper divisors (24135876).

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

11228544 is an frugal number, since it uses more digits than its factorization.

11228544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 24 counting only the distinct ones).

The product of its digits is 2560, while the sum is 27.

The square root of 11228544 is about 3350.9019681274. The cubic root of 11228544 is about 223.9276977534.

The spelling of 11228544 in words is "eleven million, two hundred twenty-eight thousand, five hundred forty-four".