289649488128 has 1152 divisors, whose sum is σ = 1127424614400. Its totient is φ = 63488655360.

The previous prime is 289649488087. The next prime is 289649488129. The reversal of 289649488128 is 821884946982.

It is not an unprimeable number, because it can be changed into a prime (289649488129) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 483554773 + ... + 483555371.

It is an arithmetic number, because the mean of its divisors is an integer number (978667200).

Almost surely, 2^289649488128 is an apocalyptic number.

289649488128 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 289649488128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (563712307200).

289649488128 is an abundant number, since it is smaller than the sum of its proper divisors (837775126272).

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

289649488128 is a wasteful number, since it uses less digits than its factorization.

289649488128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 703 (or 689 counting only the distinct ones).

The product of its digits is 127401984, while the sum is 69.

It can be divided in two parts, 289649 and 488128, that added together give a palindrome (777777).

The spelling of 289649488128 in words is "two hundred eighty-nine billion, six hundred forty-nine million, four hundred eighty-eight thousand, one hundred twenty-eight".