289287120 has 80 divisors (see below), whose sum is σ = 899888832. Its totient is φ = 76876800.

The previous prime is 289287109. The next prime is 289287137. The reversal of 289287120 is 21782982.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73195 + ... + 77045.

Almost surely, 2^289287120 is an apocalyptic number.

289287120 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 289287120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449944416).

289287120 is an abundant number, since it is smaller than the sum of its proper divisors (610601712).

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

289287120 is a wasteful number, since it uses less digits than its factorization.

289287120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4180 (or 4174 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 39.

The square root of 289287120 is about 17008.4426094807. The cubic root of 289287120 is about 661.3677787116.

The spelling of 289287120 in words is "two hundred eighty-nine million, two hundred eighty-seven thousand, one hundred twenty".