288412752 has 80 divisors (see below), whose sum is σ = 792270720. Its totient is φ = 90408448.

The previous prime is 288412741. The next prime is 288412753. The reversal of 288412752 is 257214882.

It is a self number, because there is not a number n which added to its sum of digits gives 288412752.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (288412753) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 235213 + ... + 236435.

It is an arithmetic number, because the mean of its divisors is an integer number (9903384).

Almost surely, 2^288412752 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 288412752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396135360).

288412752 is an abundant number, since it is smaller than the sum of its proper divisors (503857968).

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

288412752 is a wasteful number, since it uses less digits than its factorization.

288412752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1285 (or 1245 counting only the distinct ones).

The product of its digits is 71680, while the sum is 39.

The square root of 288412752 is about 16982.7192168981. The cubic root of 288412752 is about 660.7007799912.

The spelling of 288412752 in words is "two hundred eighty-eight million, four hundred twelve thousand, seven hundred fifty-two".