11288272 has 40 divisors (see below), whose sum is σ = 23677056. Its totient is φ = 5193216.

The previous prime is 11288269. The next prime is 11288287. The reversal of 11288272 is 27288211.

11288272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 12343 + ... + 13225.

Almost surely, 2^11288272 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 11288272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11838528).

11288272 is an abundant number, since it is smaller than the sum of its proper divisors (12388784).

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

11288272 is a wasteful number, since it uses less digits than its factorization.

11288272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 955 (or 949 counting only the distinct ones).

The product of its digits is 3584, while the sum is 31.

The square root of 11288272 is about 3359.8023751405. The cubic root of 11288272 is about 224.3240420638.

The spelling of 11288272 in words is "eleven million, two hundred eighty-eight thousand, two hundred seventy-two".