289998899982 has 192 divisors, whose sum is σ = 709450140672. Its totient is φ = 84851712000.

The previous prime is 289998899963. The next prime is 289998900007.

289998899982 is a `hidden beast` number, since 289 + 9 + 98 + 89 + 99 + 82 = 666.

289998899982 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 289998899892 and 289998899901.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 424595413 + ... + 424596095.

It is an arithmetic number, because the mean of its divisors is an integer number (3695052816).

Almost surely, 2^289998899982 is an apocalyptic number.

289998899982 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 289998899982, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354725070336).

289998899982 is an abundant number, since it is smaller than the sum of its proper divisors (419451240690).

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

289998899982 is a wasteful number, since it uses less digits than its factorization.

289998899982 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1207 (or 1204 counting only the distinct ones).

The product of its digits is 8707129344, while the sum is 90.

The spelling of 289998899982 in words is "two hundred eighty-nine billion, nine hundred ninety-eight million, eight hundred ninety-nine thousand, nine hundred eighty-two".