288298752 has 216 divisors, whose sum is σ = 917150976. Its totient is φ = 80123904.

The previous prime is 288298739. The next prime is 288298753. The reversal of 288298752 is 257892882.

288298752 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 288298695 and 288298704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (288298753) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1768623 + ... + 1768785.

Almost surely, 2^288298752 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 288298752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458575488).

288298752 is an abundant number, since it is smaller than the sum of its proper divisors (628852224).

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

288298752 is a wasteful number, since it uses less digits than its factorization.

288298752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 222 counting only the distinct ones).

The product of its digits is 1290240, while the sum is 51.

The square root of 288298752 is about 16979.3625322036. The cubic root of 288298752 is about 660.6137174805.

The spelling of 288298752 in words is "two hundred eighty-eight million, two hundred ninety-eight thousand, seven hundred fifty-two".