289926216 has 128 divisors (see below), whose sum is σ = 830102400. Its totient is φ = 94898304.

The previous prime is 289926199. The next prime is 289926227. The reversal of 289926216 is 612629982.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1277095 + ... + 1277321.

It is an arithmetic number, because the mean of its divisors is an integer number (6485175).

Almost surely, 2^289926216 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 289926216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415051200).

289926216 is an abundant number, since it is smaller than the sum of its proper divisors (540176184).

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

289926216 is an equidigital number, since it uses as much as digits as its factorization.

289926216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 305 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The square root of 289926216 is about 17027.2198552788. The cubic root of 289926216 is about 661.8544539361.

The spelling of 289926216 in words is "two hundred eighty-nine million, nine hundred twenty-six thousand, two hundred sixteen".