289205632 has 64 divisors (see below), whose sum is σ = 631216800. Its totient is φ = 131375104.

The previous prime is 289205627. The next prime is 289205639. The reversal of 289205632 is 236502982.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 289205591 and 289205600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (289205639) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 60813 + ... + 65395.

Almost surely, 2^289205632 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 289205632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315608400).

289205632 is an abundant number, since it is smaller than the sum of its proper divisors (342011168).

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

289205632 is a wasteful number, since it uses less digits than its factorization.

289205632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4643 (or 4631 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 37.

The square root of 289205632 is about 17006.0469245501. The cubic root of 289205632 is about 661.3056736322.

The spelling of 289205632 in words is "two hundred eighty-nine million, two hundred five thousand, six hundred thirty-two".