288834084 has 144 divisors (see below), whose sum is σ = 941915520. Its totient is φ = 72414720.

The previous prime is 288834079. The next prime is 288834089. The reversal of 288834084 is 480438882.

It is a happy number.

288834084 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (288834079) and next prime (288834089).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (288834089) 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 47 ways as a sum of consecutive naturals, for example, 78592 + ... + 82184.

It is an arithmetic number, because the mean of its divisors is an integer number (6541080).

Almost surely, 2^288834084 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 288834084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470957760).

288834084 is an abundant number, since it is smaller than the sum of its proper divisors (653081436).

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

288834084 is a wasteful number, since it uses less digits than its factorization.

288834084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3650 (or 3645 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 45.

The square root of 288834084 is about 16995.1194170562. The cubic root of 288834084 is about 661.0223549253.

The spelling of 288834084 in words is "two hundred eighty-eight million, eight hundred thirty-four thousand, eighty-four".