289742336 has 80 divisors (see below), whose sum is σ = 631084608. Its totient is φ = 132096000.

The previous prime is 289742311. The next prime is 289742347. The reversal of 289742336 is 633247982.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 672041 + ... + 672471.

Almost surely, 2^289742336 is an apocalyptic number.

289742336 is a gapful number since it is divisible by the number (26) 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 289742336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315542304).

289742336 is an abundant number, since it is smaller than the sum of its proper divisors (341342272).

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

289742336 is a wasteful number, since it uses less digits than its factorization.

289742336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 563 (or 547 counting only the distinct ones).

The product of its digits is 435456, while the sum is 44.

The square root of 289742336 is about 17021.8194092171. The cubic root of 289742336 is about 661.7145016214.

The spelling of 289742336 in words is "two hundred eighty-nine million, seven hundred forty-two thousand, three hundred thirty-six".