289133280 has 384 divisors, whose sum is σ = 1114767360. Its totient is φ = 69672960.

The previous prime is 289133267. The next prime is 289133293. The reversal of 289133280 is 82331982.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (289133267) and next prime (289133293).

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

It is a congruent number.

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, 2276577 + ... + 2276703.

It is an arithmetic number, because the mean of its divisors is an integer number (2903040).

Almost surely, 2^289133280 is an apocalyptic number.

289133280 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 289133280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557383680).

289133280 is an abundant number, since it is smaller than the sum of its proper divisors (825634080).

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

289133280 is a wasteful number, since it uses less digits than its factorization.

289133280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 289133280 is about 17003.9195481512. The cubic root of 289133280 is about 661.2505216649.

The spelling of 289133280 in words is "two hundred eighty-nine million, one hundred thirty-three thousand, two hundred eighty".