11282000 has 40 divisors (see below), whose sum is σ = 27284712. Its totient is φ = 4512000.

The previous prime is 11281997. The next prime is 11282017. The reversal of 11282000 is 28211.

It can be written as a sum of positive squares in 4 ways, for example, as 179776 + 11102224 = 424^2 + 3332^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

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, 821 + ... + 4820.

Almost surely, 2^11282000 is an apocalyptic number.

11282000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11282000 is an abundant number, since it is smaller than the sum of its proper divisors (16002712).

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

11282000 is an equidigital number, since it uses as much as digits as its factorization.

11282000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5664 (or 5648 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

The square root of 11282000 is about 3358.8688572196. The cubic root of 11282000 is about 224.2824879904.

The spelling of 11282000 in words is "eleven million, two hundred eighty-two thousand".