289809432 has 96 divisors (see below), whose sum is σ = 901368000. Its totient is φ = 83194560.

The previous prime is 289809409. The next prime is 289809439. The reversal of 289809432 is 234908982.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (289809439) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5419 + ... + 24677.

It is an arithmetic number, because the mean of its divisors is an integer number (9389250).

Almost surely, 2^289809432 is an apocalyptic number.

289809432 is a gapful number since it is divisible by the number (22) 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 289809432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450684000).

289809432 is an abundant number, since it is smaller than the sum of its proper divisors (611558568).

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

289809432 is a wasteful number, since it uses less digits than its factorization.

289809432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19301 (or 19294 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 289809432 is about 17023.7901772784. The cubic root of 289809432 is about 661.7655757012.

The spelling of 289809432 in words is "two hundred eighty-nine million, eight hundred nine thousand, four hundred thirty-two".