11268280 has 64 divisors (see below), whose sum is σ = 27332640. Its totient is φ = 4165632.

The previous prime is 11268253. The next prime is 11268281. The reversal of 11268280 is 8286211.

11268280 = T₂₀₅ + T₂₀₆ + ... + T₄₂₃.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11268281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49527 + ... + 49753.

Almost surely, 2^11268280 is an apocalyptic number.

11268280 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 11268280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13666320).

11268280 is an abundant number, since it is smaller than the sum of its proper divisors (16064360).

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

11268280 is a wasteful number, since it uses less digits than its factorization.

11268280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 28.

The square root of 11268280 is about 3356.8258816924. The cubic root of 11268280 is about 224.1915347329.

The spelling of 11268280 in words is "eleven million, two hundred sixty-eight thousand, two hundred eighty".