288844416 has 384 divisors, whose sum is σ = 1050192000. Its totient is φ = 75866112.

The previous prime is 288844411. The next prime is 288844421. The reversal of 288844416 is 614448882.

It is an interprime number because it is at equal distance from previous prime (288844411) and next prime (288844421).

It is a tau number, because it is divible by the number of its divisors (384).

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

It is not an unprimeable number, because it can be changed into a prime (288844411) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6717291 + ... + 6717333.

It is an arithmetic number, because the mean of its divisors is an integer number (2734875).

Almost surely, 2^288844416 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 288844416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (525096000).

288844416 is an abundant number, since it is smaller than the sum of its proper divisors (761347584).

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

288844416 is a wasteful number, since it uses less digits than its factorization.

288844416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 72 counting only the distinct ones).

The product of its digits is 393216, while the sum is 45.

The square root of 288844416 is about 16995.4233839584. The cubic root of 288844416 is about 661.0302367301.

The spelling of 288844416 in words is "two hundred eighty-eight million, eight hundred forty-four thousand, four hundred sixteen".