289130688 has 448 divisors, whose sum is σ = 1106058240. Its totient is φ = 71884800.

The previous prime is 289130669. The next prime is 289130701. The reversal of 289130688 is 886031982.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-3 number, since 3×289130688³ (a number of 26 digits) contains 333 as substring.

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, 5455270 + ... + 5455322.

It is an arithmetic number, because the mean of its divisors is an integer number (2468880).

Almost surely, 2^289130688 is an apocalyptic number.

289130688 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 289130688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553029120).

289130688 is an abundant number, since it is smaller than the sum of its proper divisors (816927552).

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

289130688 is a wasteful number, since it uses less digits than its factorization.

289130688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 289130688 is about 17003.8433302592. The cubic root of 289130688 is about 661.2485456829.

The spelling of 289130688 in words is "two hundred eighty-nine million, one hundred thirty thousand, six hundred eighty-eight".