289073280 has 64 divisors (see below), whose sum is σ = 921427200. Its totient is φ = 77085696.

The previous prime is 289073263. The next prime is 289073297. The reversal of 289073280 is 82370982.

It is an interprime number because it is at equal distance from previous prime (289073263) and next prime (289073297).

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×289073280² = 167126722419916800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 73360 + ... + 77199.

It is an arithmetic number, because the mean of its divisors is an integer number (14397300).

Almost surely, 2^289073280 is an apocalyptic number.

289073280 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

289073280 is an abundant number, since it is smaller than the sum of its proper divisors (632353920).

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

289073280 is a wasteful number, since it uses less digits than its factorization.

289073280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150581 (or 150569 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 289073280 is about 17002.1551575087. The cubic root of 289073280 is about 661.2047783131.

The spelling of 289073280 in words is "two hundred eighty-nine million, seventy-three thousand, two hundred eighty".