11277288 has 96 divisors (see below), whose sum is σ = 34538400. Its totient is φ = 3292800.

The previous prime is 11277281. The next prime is 11277289. The reversal of 11277288 is 88277211.

It is a happy number.

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

It is a nialpdrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (11277281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22723 + ... + 23213.

It is an arithmetic number, because the mean of its divisors is an integer number (359775).

Almost surely, 2^11277288 is an apocalyptic number.

11277288 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 11277288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17269200).

11277288 is an abundant number, since it is smaller than the sum of its proper divisors (23261112).

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

11277288 is a wasteful number, since it uses less digits than its factorization.

11277288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 543 (or 536 counting only the distinct ones).

The product of its digits is 12544, while the sum is 36.

The square root of 11277288 is about 3358.1673573543. The cubic root of 11277288 is about 224.2512593002.

The spelling of 11277288 in words is "eleven million, two hundred seventy-seven thousand, two hundred eighty-eight".