289328966280 has 256 divisors, whose sum is σ = 977163264000. Its totient is φ = 76137889536.

The previous prime is 289328966249. The next prime is 289328966287. The reversal of 289328966280 is 82669823982.

289328966280 is a `hidden beast` number, since 28 + 9 + 328 + 9 + 6 + 6 + 280 = 666.

It is a super-2 number, since 2×289328966280² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (289328966287) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 128990839 + ... + 128993081.

It is an arithmetic number, because the mean of its divisors is an integer number (3817044000).

Almost surely, 2^289328966280 is an apocalyptic number.

289328966280 is a gapful number since it is divisible by the number (20) 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 289328966280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488581632000).

289328966280 is an abundant number, since it is smaller than the sum of its proper divisors (687834297720).

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

289328966280 is a wasteful number, since it uses less digits than its factorization.

289328966280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3785 (or 3775 counting only the distinct ones).

The product of its (nonzero) digits is 35831808, while the sum is 63.

The spelling of 289328966280 in words is "two hundred eighty-nine billion, three hundred twenty-eight million, nine hundred sixty-six thousand, two hundred eighty".