289463328 has 384 divisors, whose sum is σ = 1112832000. Its totient is φ = 70917120.

The previous prime is 289463287. The next prime is 289463341. The reversal of 289463328 is 823364982.

289463328 is a `hidden beast` number, since 2 + 8 + 9 + 4 + 633 + 2 + 8 = 666.

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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1263918 + ... + 1264146.

It is an arithmetic number, because the mean of its divisors is an integer number (2898000).

Almost surely, 2^289463328 is an apocalyptic number.

289463328 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 289463328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (556416000).

289463328 is an abundant number, since it is smaller than the sum of its proper divisors (823368672).

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

289463328 is a wasteful number, since it uses less digits than its factorization.

289463328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 271 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 289463328 is about 17013.6218366343. The cubic root of 289463328 is about 661.5020336114.

The spelling of 289463328 in words is "two hundred eighty-nine million, four hundred sixty-three thousand, three hundred twenty-eight".