11288480 has 48 divisors (see below), whose sum is σ = 30481920. Its totient is φ = 3869952.

The previous prime is 11288471. The next prime is 11288509. The reversal of 11288480 is 8488211.

11288480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3920 + ... + 6159.

It is an arithmetic number, because the mean of its divisors is an integer number (635040).

Almost surely, 2^11288480 is an apocalyptic number.

11288480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11288480 is an abundant number, since it is smaller than the sum of its proper divisors (19193440).

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

11288480 is a wasteful number, since it uses less digits than its factorization.

11288480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10101 (or 10093 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 32.

The square root of 11288480 is about 3359.8333291995. The cubic root of 11288480 is about 224.3254198689.

The spelling of 11288480 in words is "eleven million, two hundred eighty-eight thousand, four hundred eighty".