289668628224 has 252 divisors, whose sum is σ = 917916911856. Its totient is φ = 90875437056.

The previous prime is 289668628219. The next prime is 289668628267. The reversal of 289668628224 is 422826866982.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 3126957 + ... + 3218259.

It is an arithmetic number, because the mean of its divisors is an integer number (3642527428).

Almost surely, 2^289668628224 is an apocalyptic number.

289668628224 is a gapful number since it is divisible by the number (24) 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 289668628224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458958455928).

289668628224 is an abundant number, since it is smaller than the sum of its proper divisors (628248283632).

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

289668628224 is an frugal number, since it uses more digits than its factorization.

289668628224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91354 (or 91325 counting only the distinct ones).

The product of its digits is 63700992, while the sum is 63.

The spelling of 289668628224 in words is "two hundred eighty-nine billion, six hundred sixty-eight million, six hundred twenty-eight thousand, two hundred twenty-four".