11448288 has 72 divisors (see below), whose sum is σ = 32917248. Its totient is φ = 3773952.

The previous prime is 11448287. The next prime is 11448299. The reversal of 11448288 is 88284411.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11448287) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36420 + ... + 36732.

It is an arithmetic number, because the mean of its divisors is an integer number (457184).

Almost surely, 2^11448288 is an apocalyptic number.

11448288 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11448288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16458624).

11448288 is an abundant number, since it is smaller than the sum of its proper divisors (21468960).

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

11448288 is a wasteful number, since it uses less digits than its factorization.

11448288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456 (or 445 counting only the distinct ones).

The product of its digits is 16384, while the sum is 36.

The square root of 11448288 is about 3383.5318825157. The cubic root of 11448288 is about 225.3790351925.

The spelling of 11448288 in words is "eleven million, four hundred forty-eight thousand, two hundred eighty-eight".