289273920 has 168 divisors, whose sum is σ = 995086656. Its totient is φ = 71165952.

The previous prime is 289273909. The next prime is 289273931. The reversal of 289273920 is 29372982.

It is an interprime number because it is at equal distance from previous prime (289273909) and next prime (289273931).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 161349 + ... + 163131.

Almost surely, 2^289273920 is an apocalyptic number.

289273920 is a gapful number since it is divisible by the number (20) 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 289273920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (497543328).

289273920 is an abundant number, since it is smaller than the sum of its proper divisors (705812736).

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

289273920 is a wasteful number, since it uses less digits than its factorization.

289273920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1829 (or 1806 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The square root of 289273920 is about 17008.0545624713. The cubic root of 289273920 is about 661.3577192852.

The spelling of 289273920 in words is "two hundred eighty-nine million, two hundred seventy-three thousand, nine hundred twenty".