288230000 has 200 divisors, whose sum is σ = 772815120. Its totient is φ = 103680000.

The previous prime is 288229979. The next prime is 288230017. The reversal of 288230000 is 32882.

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-3 number, since 3×288230000³ (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 7029980 + ... + 7030020.

Almost surely, 2^288230000 is an apocalyptic number.

288230000 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 288230000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386407560).

288230000 is an abundant number, since it is smaller than the sum of its proper divisors (484585120).

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

288230000 is a wasteful number, since it uses less digits than its factorization.

288230000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 288230000 is about 16977.3378360684. The cubic root of 288230000 is about 660.5612000545.

Adding to 288230000 its reverse (32882), we get a palindrome (288262882).

The spelling of 288230000 in words is "two hundred eighty-eight million, two hundred thirty thousand".