289033920 has 448 divisors, whose sum is σ = 1199692800. Its totient is φ = 64945152.

The previous prime is 289033897. The next prime is 289033961. The reversal of 289033920 is 29330982.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4898851 + ... + 4898909.

Almost surely, 2^289033920 is an apocalyptic number.

289033920 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 289033920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599846400).

289033920 is an abundant number, since it is smaller than the sum of its proper divisors (910658880).

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

289033920 is an frugal number, since it uses more digits than its factorization.

289033920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 289033920 is about 17000.9976177870. The cubic root of 289033920 is about 661.1747672361.

It can be divided in two parts, 28903 and 3920, that added together give a palindrome (32823).

The spelling of 289033920 in words is "two hundred eighty-nine million, thirty-three thousand, nine hundred twenty".