288325120 has 120 divisors (see below), whose sum is σ = 719152632. Its totient is φ = 110837760.

The previous prime is 288325091. The next prime is 288325129. The reversal of 288325120 is 21523882.

288325120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (288325129) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 4303327 + ... + 4303393.

Almost surely, 2^288325120 is an apocalyptic number.

288325120 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 288325120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359576316).

288325120 is an abundant number, since it is smaller than the sum of its proper divisors (430827512).

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

288325120 is an frugal number, since it uses more digits than its factorization.

288325120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 31.

The square root of 288325120 is about 16980.1389864748. The cubic root of 288325120 is about 660.6338569266.

The spelling of 288325120 in words is "two hundred eighty-eight million, three hundred twenty-five thousand, one hundred twenty".