288380544 has 64 divisors (see below), whose sum is σ = 767807040. Its totient is φ = 95901696.

The previous prime is 288380539. The next prime is 288380557. The reversal of 288380544 is 445083882.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 288380496 and 288380505.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 278652 + ... + 279684.

It is an arithmetic number, because the mean of its divisors is an integer number (11996985).

Almost surely, 2^288380544 is an apocalyptic number.

288380544 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 288380544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383903520).

288380544 is an abundant number, since it is smaller than the sum of its proper divisors (479426496).

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

288380544 is a wasteful number, since it uses less digits than its factorization.

288380544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1777 (or 1765 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 42.

The square root of 288380544 is about 16981.7709323851. The cubic root of 288380544 is about 660.6761848664.

The spelling of 288380544 in words is "two hundred eighty-eight million, three hundred eighty thousand, five hundred forty-four".