288845352 has 96 divisors (see below), whose sum is σ = 837607680. Its totient is φ = 93156480.

The previous prime is 288845329. The next prime is 288845357. The reversal of 288845352 is 253548882.

It is a junction number, because it is equal to n+sod(n) for n = 288845298 and 288845307.

It is not an unprimeable number, because it can be changed into a prime (288845357) 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, 57868 + ... + 62660.

It is an arithmetic number, because the mean of its divisors is an integer number (8725080).

Almost surely, 2^288845352 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 288845352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418803840).

288845352 is an abundant number, since it is smaller than the sum of its proper divisors (548762328).

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

288845352 is a wasteful number, since it uses less digits than its factorization.

288845352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4845 (or 4829 counting only the distinct ones).

The product of its digits is 614400, while the sum is 45.

The square root of 288845352 is about 16995.4509207611. The cubic root of 288845352 is about 661.0309507519.

The spelling of 288845352 in words is "two hundred eighty-eight million, eight hundred forty-five thousand, three hundred fifty-two".