289488817728 has 672 divisors, whose sum is σ = 1033826492160. Its totient is φ = 78951628800.

The previous prime is 289488817669. The next prime is 289488817733. The reversal of 289488817728 is 827718884982.

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 81751638 + ... + 81755178.

It is an arithmetic number, because the mean of its divisors is an integer number (1538432280).

Almost surely, 2^289488817728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 289488817728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516913246080).

289488817728 is an abundant number, since it is smaller than the sum of its proper divisors (744337674432).

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

289488817728 is a wasteful number, since it uses less digits than its factorization.

289488817728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3624 (or 3597 counting only the distinct ones).

The product of its digits is 231211008, while the sum is 72.

The spelling of 289488817728 in words is "two hundred eighty-nine billion, four hundred eighty-eight million, eight hundred seventeen thousand, seven hundred twenty-eight".