288449536 has 44 divisors (see below), whose sum is σ = 582535260. Its totient is φ = 142745600.

The previous prime is 288449531. The next prime is 288449549. The reversal of 288449536 is 635944882.

It can be written as a sum of positive squares in 2 ways, for example, as 238887936 + 49561600 = 15456^2 + 7040^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 288449536.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (288449531) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 102030 + ... + 104818.

Almost surely, 2^288449536 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 288449536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291267630).

288449536 is an abundant number, since it is smaller than the sum of its proper divisors (294085724).

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

288449536 is a wasteful number, since it uses less digits than its factorization.

288449536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2910 (or 2892 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 49.

The square root of 288449536 is about 16983.8021655930. The cubic root of 288449536 is about 660.7288672657.

The spelling of 288449536 in words is "two hundred eighty-eight million, four hundred forty-nine thousand, five hundred thirty-six".