289780128 has 288 divisors, whose sum is σ = 970849152. Its totient is φ = 81100800.

The previous prime is 289780121. The next prime is 289780177. The reversal of 289780128 is 821087982.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (289780121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2987376 + ... + 2987472.

It is an arithmetic number, because the mean of its divisors is an integer number (3371004).

Almost surely, 2^289780128 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 289780128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485424576).

289780128 is an abundant number, since it is smaller than the sum of its proper divisors (681069024).

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

289780128 is a wasteful number, since it uses less digits than its factorization.

289780128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The square root of 289780128 is about 17022.9294776193. The cubic root of 289780128 is about 661.7432702021.

The spelling of 289780128 in words is "two hundred eighty-nine million, seven hundred eighty thousand, one hundred twenty-eight".