288869616 has 120 divisors (see below), whose sum is σ = 972616320. Its totient is φ = 78185088.

The previous prime is 288869611. The next prime is 288869621. The reversal of 288869616 is 616968882.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (288869611) and next prime (288869621).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (288869611) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11611 + ... + 26693.

It is an arithmetic number, because the mean of its divisors is an integer number (8105136).

Almost surely, 2^288869616 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 288869616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486308160).

288869616 is an abundant number, since it is smaller than the sum of its proper divisors (683746704).

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

288869616 is a wasteful number, since it uses less digits than its factorization.

288869616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15123 (or 15114 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 54.

The square root of 288869616 is about 16996.1647438474. The cubic root of 288869616 is about 661.0494598558.

The spelling of 288869616 in words is "two hundred eighty-eight million, eight hundred sixty-nine thousand, six hundred sixteen".