11288520 has 48 divisors (see below), whose sum is σ = 36688860. Its totient is φ = 3010176.

The previous prime is 11288509. The next prime is 11288521. The reversal of 11288520 is 2588211.

It can be written as a sum of positive squares in 2 ways, for example, as 11249316 + 39204 = 3354^2 + 198^2 .

It is not an unprimeable number, because it can be changed into a prime (11288521) 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 11 ways as a sum of consecutive naturals, for example, 15319 + ... + 16038.

Almost surely, 2^11288520 is an apocalyptic number.

11288520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11288520 is an abundant number, since it is smaller than the sum of its proper divisors (25400340).

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

11288520 is a wasteful number, since it uses less digits than its factorization.

11288520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31374 (or 31367 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 11288520 is about 3359.8392818705. The cubic root of 11288520 is about 224.3256848294.

The spelling of 11288520 in words is "eleven million, two hundred eighty-eight thousand, five hundred twenty".