11287200 has 72 divisors (see below), whose sum is σ = 36747648. Its totient is φ = 3009280.

The previous prime is 11287189. The next prime is 11287207. The reversal of 11287200 is 278211.

It is not an unprimeable number, because it can be changed into a prime (11287207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 49 + ... + 4751.

It is an arithmetic number, because the mean of its divisors is an integer number (510384).

Almost surely, 2^11287200 is an apocalyptic number.

11287200 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 11287200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18373824).

11287200 is an abundant number, since it is smaller than the sum of its proper divisors (25460448).

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

11287200 is a wasteful number, since it uses less digits than its factorization.

11287200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4726 (or 4713 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 21.

The square root of 11287200 is about 3359.6428381600. The cubic root of 11287200 is about 224.3169408002.

The spelling of 11287200 in words is "eleven million, two hundred eighty-seven thousand, two hundred".