11288920 has 32 divisors (see below), whose sum is σ = 25502400. Its totient is φ = 4497408.

The previous prime is 11288887. The next prime is 11288923. The reversal of 11288920 is 2988211.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11288923) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14296 + ... + 15064.

It is an arithmetic number, because the mean of its divisors is an integer number (796950).

Almost surely, 2^11288920 is an apocalyptic number.

11288920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11288920 is an abundant number, since it is smaller than the sum of its proper divisors (14213480).

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

11288920 is a wasteful number, since it uses less digits than its factorization.

11288920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1147 (or 1143 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 31.

The square root of 11288920 is about 3359.8988080000. The cubic root of 11288920 is about 224.3283344007.

The spelling of 11288920 in words is "eleven million, two hundred eighty-eight thousand, nine hundred twenty".