288000000 has 252 divisors, whose sum is σ = 1039732785. Its totient is φ = 76800000.

The previous prime is 287999993. The next prime is 288000001. The reversal of 288000000 is 882.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 4 ways, for example, as 49112064 + 238887936 = 7008^2 + 15456^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=12000.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is not an unprimeable number, because it can be changed into a prime (288000001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 57599998 + ... + 57600002.

Almost surely, 2^288000000 is an apocalyptic number.

288000000 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 288000000

288000000 is an abundant number, since it is smaller than the sum of its proper divisors (751732785).

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

288000000 is an frugal number, since it uses more digits than its factorization.

288000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 288000000 is about 16970.5627484771. The cubic root of 288000000 is about 660.3854497789.

Multiplying 288000000 by its sum of digits (18), we get a square (5184000000 = 72000²).

288000000 divided by its sum of digits (18) gives a square (16000000 = 4000²).

Multiplying 288000000 by its product of nonzero digits (128), we get a square (36864000000 = 192000²).

288000000 divided by its product of nonzero digits (128) gives a square (2250000 = 1500²).

Adding to 288000000 its reverse (882), we get a palindrome (288000882).

Multiplying 288000000 by its reverse (882), we get a square (254016000000 = 504000²).

The spelling of 288000000 in words is "two hundred eighty-eight million", and thus it is an aban number.