11288000 has 112 divisors (see below), whose sum is σ = 29955744. Its totient is φ = 4198400.

The previous prime is 11287981. The next prime is 11288003. The reversal of 11288000 is 88211.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11288003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 135959 + ... + 136041.

It is an arithmetic number, because the mean of its divisors is an integer number (267462).

Almost surely, 2^11288000 is an apocalyptic number.

11288000 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 11288000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14977872).

11288000 is an abundant number, since it is smaller than the sum of its proper divisors (18667744).

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

11288000 is an equidigital number, since it uses as much as digits as its factorization.

11288000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

The square root of 11288000 is about 3359.7618963254. The cubic root of 11288000 is about 224.3222402932.

The spelling of 11288000 in words is "eleven million, two hundred eighty-eight thousand".