288413364 has 96 divisors (see below), whose sum is σ = 733090176. Its totient is φ = 87920640.

The previous prime is 288413339. The next prime is 288413383. The reversal of 288413364 is 463314882.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1593354 + ... + 1593534.

It is an arithmetic number, because the mean of its divisors is an integer number (7636356).

Almost surely, 2^288413364 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 288413364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366545088).

288413364 is an abundant number, since it is smaller than the sum of its proper divisors (444676812).

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

288413364 is a wasteful number, since it uses less digits than its factorization.

288413364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385 (or 383 counting only the distinct ones).

The product of its digits is 110592, while the sum is 39.

The square root of 288413364 is about 16982.7372352045. The cubic root of 288413364 is about 660.7012473175.

The spelling of 288413364 in words is "two hundred eighty-eight million, four hundred thirteen thousand, three hundred sixty-four".