288234000 has 240 divisors, whose sum is σ = 1026005760. Its totient is φ = 75398400.

The previous prime is 288233969. The next prime is 288234007. The reversal of 288234000 is 432882.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (288234007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1205881 + ... + 1206119.

It is an arithmetic number, because the mean of its divisors is an integer number (4275024).

Almost surely, 2^288234000 is an apocalyptic number.

288234000 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 288234000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (513002880).

288234000 is an abundant number, since it is smaller than the sum of its proper divisors (737771760).

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

288234000 is a wasteful number, since it uses less digits than its factorization.

288234000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 288234000 is about 16977.4556397595. The cubic root of 288234000 is about 660.5642557537.

Adding to 288234000 its reverse (432882), we get a palindrome (288666882).

It can be divided in two parts, 28823 and 4000, that added together give a palindrome (32823).

The spelling of 288234000 in words is "two hundred eighty-eight million, two hundred thirty-four thousand".