289728 has 42 divisors (see below), whose sum is σ = 832104. Its totient is φ = 96384.

The previous prime is 289727. The next prime is 289733. The reversal of 289728 is 827982.

289728 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 289692 and 289701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (289721) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 325 + ... + 827.

It is an arithmetic number, because the mean of its divisors is an integer number (19812).

2²⁸⁹⁷²⁸ 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 289728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416052).

289728 is an abundant number, since it is smaller than the sum of its proper divisors (542376).

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

289728 is a wasteful number, since it uses less digits than its factorization.

289728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 521 (or 508 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 289728 is about 538.2638758081. The cubic root of 289728 is about 66.1703587907.

The spelling of 289728 in words is "two hundred eighty-nine thousand, seven hundred twenty-eight".