289973248 has 44 divisors (see below), whose sum is σ = 582985600. Its totient is φ = 144156672.

The previous prime is 289973239. The next prime is 289973249. The reversal of 289973248 is 842379982.

It is a junction number, because it is equal to n+sod(n) for n = 289973195 and 289973204.

It is not an unprimeable number, because it can be changed into a prime (289973249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 203065 + ... + 204487.

Almost surely, 2^289973248 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 289973248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291492800).

289973248 is an abundant number, since it is smaller than the sum of its proper divisors (293012352).

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

289973248 is a wasteful number, since it uses less digits than its factorization.

289973248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1642 (or 1624 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 52.

The square root of 289973248 is about 17028.6008820455. The cubic root of 289973248 is about 661.8902408064.

The spelling of 289973248 in words is "two hundred eighty-nine million, nine hundred seventy-three thousand, two hundred forty-eight".