288282000 has 160 divisors (see below), whose sum is σ = 970295040. Its totient is φ = 73497600.

The previous prime is 288281957. The next prime is 288282013. The reversal of 288282000 is 282882.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 136956 + ... + 139044.

It is an arithmetic number, because the mean of its divisors is an integer number (6064344).

Almost surely, 2^288282000 is an apocalyptic number.

288282000 is a gapful number since it is divisible by the number (20) 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 288282000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485147520).

288282000 is an abundant number, since it is smaller than the sum of its proper divisors (682013040).

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

288282000 is a wasteful number, since it uses less digits than its factorization.

288282000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2138 (or 2122 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 30.

The square root of 288282000 is about 16978.8692202985. The cubic root of 288282000 is about 660.6009219397.

The spelling of 288282000 in words is "two hundred eighty-eight million, two hundred eighty-two thousand".