11480288 has 48 divisors (see below), whose sum is σ = 23814000. Its totient is φ = 5440512.

The previous prime is 11480251. The next prime is 11480291. The reversal of 11480288 is 88208411.

11480288 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 82523 + ... + 82661.

It is an arithmetic number, because the mean of its divisors is an integer number (496125).

Almost surely, 2^11480288 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 11480288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11907000).

11480288 is an abundant number, since it is smaller than the sum of its proper divisors (12333712).

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

11480288 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (11480287) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (259).

11480288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 32.

The square root of 11480288 is about 3388.2573692091. The cubic root of 11480288 is about 225.5888313301.

Adding to 11480288 its reverse (88208411), we get a palindrome (99688699).

The spelling of 11480288 in words is "eleven million, four hundred eighty thousand, two hundred eighty-eight".