289229328 has 90 divisors (see below), whose sum is σ = 824819294. Its totient is φ = 94611456.

The previous prime is 289229251. The next prime is 289229329. The reversal of 289229328 is 823922982.

It can be written as a sum of positive squares in only one way, i.e., 288728064 + 501264 = 16992^2 + 708^2 .

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (289229329) 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 17 ways as a sum of consecutive naturals, for example, 500976 + ... + 501552.

Almost surely, 2^289229328 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 289229328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412409647).

289229328 is an abundant number, since it is smaller than the sum of its proper divisors (535589966).

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

289229328 is a wasteful number, since it uses less digits than its factorization.

289229328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 709 (or 641 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 289229328 is about 17006.7436036415. The cubic root of 289229328 is about 661.3237344507.

The spelling of 289229328 in words is "two hundred eighty-nine million, two hundred twenty-nine thousand, three hundred twenty-eight".