289615872 has 312 divisors, whose sum is σ = 993535536. Its totient is φ = 74317824.

The previous prime is 289615871. The next prime is 289615873. The reversal of 289615872 is 278516982.

It is an interprime number because it is at equal distance from previous prime (289615871) and next prime (289615873).

It is a tau number, because it is divible by the number of its divisors (312).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (289615871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7827438 + ... + 7827474.

Almost surely, 2^289615872 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 289615872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496767768).

289615872 is an abundant number, since it is smaller than the sum of its proper divisors (703919664).

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

289615872 is a wasteful number, since it uses less digits than its factorization.

289615872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 62 counting only the distinct ones).

The product of its digits is 483840, while the sum is 48.

The square root of 289615872 is about 17018.1042422474. The cubic root of 289615872 is about 661.6182146446.

The spelling of 289615872 in words is "two hundred eighty-nine million, six hundred fifteen thousand, eight hundred seventy-two".