11189248 has 66 divisors (see below), whose sum is σ = 26136096. Its totient is φ = 4773888.

The previous prime is 11189237. The next prime is 11189249. The reversal of 11189248 is 84298111.

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11189249) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 50065 + ... + 50287.

Almost surely, 2^11189248 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 11189248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13068048).

11189248 is an abundant number, since it is smaller than the sum of its proper divisors (14946848).

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

11189248 is an equidigital number, since it uses as much as digits as its factorization.

11189248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 232 counting only the distinct ones).

The product of its digits is 4608, while the sum is 34.

The square root of 11189248 is about 3345.0333331672. The cubic root of 11189248 is about 223.6661694010. Note that the first 3 decimals are identical.

The spelling of 11189248 in words is "eleven million, one hundred eighty-nine thousand, two hundred forty-eight".