11009280 has 144 divisors (see below), whose sum is σ = 36497664. Its totient is φ = 2826240.

The previous prime is 11009267. The next prime is 11009293. The reversal of 11009280 is 8290011.

11009280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11009267) and next prime (11009293).

It is a super-2 number, since 2×11009280² = 242408492236800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 180450 + ... + 180510.

It is an arithmetic number, because the mean of its divisors is an integer number (253456).

Almost surely, 2^11009280 is an apocalyptic number.

11009280 is a gapful number since it is divisible by the number (10) 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 11009280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18248832).

11009280 is an abundant number, since it is smaller than the sum of its proper divisors (25488384).

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

11009280 is an equidigital number, since it uses as much as digits as its factorization.

11009280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 21.

The square root of 11009280 is about 3318.0235080542. The cubic root of 11009280 is about 222.4605324938.

Adding to 11009280 its reverse (8290011), we get a palindrome (19299291).

The spelling of 11009280 in words is "eleven million, nine thousand, two hundred eighty".