288834 has 48 divisors (see below), whose sum is σ = 743232. Its totient is φ = 72864.

The previous prime is 288833. The next prime is 288839. The reversal of 288834 is 438882.

288834 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

Its product of digits (12288) is a multiple of the sum of its prime divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 288795 and 288804.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 288834.

It is not an unprimeable number, because it can be changed into a prime (288833) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12547 + ... + 12569.

It is an arithmetic number, because the mean of its divisors is an integer number (15484).

2²⁸⁸⁸³⁴ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 288834, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371616).

288834 is an abundant number, since it is smaller than the sum of its proper divisors (454398).

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

288834 is a wasteful number, since it uses less digits than its factorization.

288834 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 48 counting only the distinct ones).

The product of its digits is 12288, while the sum is 33.

The square root of 288834 is about 537.4327864952. The cubic root of 288834 is about 66.1022290845.

The spelling of 288834 in words is "two hundred eighty-eight thousand, eight hundred thirty-four".