288678720 has 112 divisors (see below), whose sum is σ = 999914688. Its totient is φ = 69980160.

The previous prime is 288678667. The next prime is 288678739. The reversal of 288678720 is 27876882.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 288678720.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 3109 + ... + 24228.

Almost surely, 2^288678720 is an apocalyptic number.

288678720 is a gapful number since it is divisible by the number (20) 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 288678720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499957344).

288678720 is an abundant number, since it is smaller than the sum of its proper divisors (711235968).

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

288678720 is a wasteful number, since it uses less digits than its factorization.

288678720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27368 (or 27358 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 48.

The square root of 288678720 is about 16990.5479605574. The cubic root of 288678720 is about 660.9038122483.

The spelling of 288678720 in words is "two hundred eighty-eight million, six hundred seventy-eight thousand, seven hundred twenty".