11284000 has 192 divisors, whose sum is σ = 35223552. Its totient is φ = 3456000.

The previous prime is 11283989. The next prime is 11284003. The reversal of 11284000 is 48211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (11284003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 363985 + ... + 364015.

It is an arithmetic number, because the mean of its divisors is an integer number (183456).

Almost surely, 2^11284000 is an apocalyptic number.

11284000 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 11284000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17611776).

11284000 is an abundant number, since it is smaller than the sum of its proper divisors (23939552).

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

11284000 is a wasteful number, since it uses less digits than its factorization.

11284000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 11284000 is about 3359.1665633011. The cubic root of 11284000 is about 224.2957403237.

The spelling of 11284000 in words is "eleven million, two hundred eighty-four thousand".