289272816 has 240 divisors, whose sum is σ = 1011086080. Its totient is φ = 77552640.

The previous prime is 289272779. The next prime is 289272821. The reversal of 289272816 is 618272982.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 873771 + ... + 874101.

Almost surely, 2^289272816 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 289272816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505543040).

289272816 is an abundant number, since it is smaller than the sum of its proper divisors (721813264).

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

289272816 is a wasteful number, since it uses less digits than its factorization.

289272816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389 (or 360 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The square root of 289272816 is about 17008.0221072293. The cubic root of 289272816 is about 661.3568779375.

The spelling of 289272816 in words is "two hundred eighty-nine million, two hundred seventy-two thousand, eight hundred sixteen".