289492992 has 78 divisors (see below), whose sum is σ = 836317482. Its totient is φ = 96485376.

The previous prime is 289492939. The next prime is 289493011. The reversal of 289492992 is 299294982.

It can be written as a sum of positive squares in only one way, i.e., 165482496 + 124010496 = 12864^2 + 11136^2 .

It is a super-2 number, since 2×289492992² = 167612384834224128, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 32938 + ... + 40790.

It is an arithmetic number, because the mean of its divisors is an integer number (10722019).

Almost surely, 2^289492992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 289492992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418158741).

289492992 is an abundant number, since it is smaller than the sum of its proper divisors (546824490).

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

289492992 is an equidigital number, since it uses as much as digits as its factorization.

289492992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7883 (or 7858 counting only the distinct ones).

The product of its digits is 1679616, while the sum is 54.

The square root of 289492992 is about 17014.4935863516. The cubic root of 289492992 is about 661.5246295953.

The spelling of 289492992 in words is "two hundred eighty-nine million, four hundred ninety-two thousand, nine hundred ninety-two".