288115152 has 80 divisors (see below), whose sum is σ = 823280640. Its totient is φ = 86247936.

The previous prime is 288115151. The next prime is 288115153. The reversal of 288115152 is 251511882.

It is an interprime number because it is at equal distance from previous prime (288115151) and next prime (288115153).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (288115151) by changing a digit.

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, 16849 + ... + 29327.

It is an arithmetic number, because the mean of its divisors is an integer number (10291008).

Almost surely, 2^288115152 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 288115152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411640320).

288115152 is an abundant number, since it is smaller than the sum of its proper divisors (535165488).

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

288115152 is a wasteful number, since it uses less digits than its factorization.

288115152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12540 (or 12534 counting only the distinct ones).

The product of its digits is 6400, while the sum is 33.

The square root of 288115152 is about 16973.9551077526. The cubic root of 288115152 is about 660.4734527563.

It can be divided in two parts, 288 and 115152, that added together give a triangular number (115440 = T₄₈₀).

The spelling of 288115152 in words is "two hundred eighty-eight million, one hundred fifteen thousand, one hundred fifty-two".