11284800 has 84 divisors (see below), whose sum is σ = 37039296. Its totient is φ = 3008000.

The previous prime is 11284781. The next prime is 11284829. The reversal of 11284800 is 848211.

It is a super-2 number, since 2×11284800² = 254693422080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3625 + ... + 5975.

It is an arithmetic number, because the mean of its divisors is an integer number (440944).

Almost surely, 2^11284800 is an apocalyptic number.

11284800 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 11284800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18519648).

11284800 is an abundant number, since it is smaller than the sum of its proper divisors (25754496).

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

11284800 is a wasteful number, since it uses less digits than its factorization.

11284800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2376 (or 2361 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 24.

The square root of 11284800 is about 3359.2856383463. The cubic root of 11284800 is about 224.3010408185.

The spelling of 11284800 in words is "eleven million, two hundred eighty-four thousand, eight hundred".