289788 has 48 divisors (see below), whose sum is σ = 752640. Its totient is φ = 86400.

The previous prime is 289771. The next prime is 289789. The reversal of 289788 is 887982.

It is a happy number.

Its product of digits (64512) is a multiple of the sum of its prime divisors (96).

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 289788.

It is not an unprimeable number, because it can be changed into a prime (289789) by changing a digit.

289788 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7048 + ... + 7088.

It is an arithmetic number, because the mean of its divisors is an integer number (15680).

2²⁸⁹⁷⁸⁸ 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 289788, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376320).

289788 is an abundant number, since it is smaller than the sum of its proper divisors (462852).

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

289788 is a wasteful number, since it uses less digits than its factorization.

289788 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 96 counting only the distinct ones).

The product of its digits is 64512, while the sum is 42.

The square root of 289788 is about 538.3196076682. The cubic root of 289788 is about 66.1749262327.

The spelling of 289788 in words is "two hundred eighty-nine thousand, seven hundred eighty-eight".