289211728 has 30 divisors (see below), whose sum is σ = 606772734. Its totient is φ = 133481088.

The previous prime is 289211723. The next prime is 289211753. The reversal of 289211728 is 827112982.

It can be written as a sum of positive squares in 3 ways, for example, as 12588304 + 276623424 = 3548^2 + 16632^2 .

It is a super-2 number, since 2×289211728² = 167286847225491968, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (289211723) 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 5 ways as a sum of consecutive naturals, for example, 50775 + ... + 56182.

Almost surely, 2^289211728 is an apocalyptic number.

It is an amenable number.

289211728 is an abundant number, since it is smaller than the sum of its proper divisors (317561006).

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

289211728 is a wasteful number, since it uses less digits than its factorization.

289211728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106991 (or 106972 counting only the distinct ones).

The product of its digits is 32256, while the sum is 40.

The square root of 289211728 is about 17006.2261539708. The cubic root of 289211728 is about 661.3103200275.

The spelling of 289211728 in words is "two hundred eighty-nine million, two hundred eleven thousand, seven hundred twenty-eight".