289838720 has 32 divisors (see below), whose sum is σ = 692897220. Its totient is φ = 115935232.

The previous prime is 289838699. The next prime is 289838737. The reversal of 289838720 is 27838982.

It can be written as a sum of positive squares in 2 ways, for example, as 264517696 + 25321024 = 16264^2 + 5032^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×289838720² = 168012967222476800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 225797 + ... + 227076.

Almost surely, 2^289838720 is an apocalyptic number.

289838720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

289838720 is an abundant number, since it is smaller than the sum of its proper divisors (403058500).

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

289838720 is an equidigital number, since it uses as much as digits as its factorization.

289838720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452892 (or 452880 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 47.

The square root of 289838720 is about 17024.6503635170. The cubic root of 289838720 is about 661.7878675191.

The spelling of 289838720 in words is "two hundred eighty-nine million, eight hundred thirty-eight thousand, seven hundred twenty".