18282000 has 160 divisors (see below), whose sum is σ = 64531584. Its totient is φ = 4416000.

The previous prime is 18281983. The next prime is 18282007. The reversal of 18282000 is 28281.

It is not an unprimeable number, because it can be changed into a prime (18282007) 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 31 ways as a sum of consecutive naturals, for example, 65862 + ... + 66138.

Almost surely, 2^18282000 is an apocalyptic number.

18282000 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 18282000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32265792).

18282000 is an abundant number, since it is smaller than the sum of its proper divisors (46249584).

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

18282000 is a wasteful number, since it uses less digits than its factorization.

18282000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 18282000 is about 4275.7455490242. The cubic root of 18282000 is about 263.4356631979.

It can be divided in two parts, 1828 and 2000, that added together give a triangular number (3828 = T₈₇).

The spelling of 18282000 in words is "eighteen million, two hundred eighty-two thousand".