288433152 has 264 divisors, whose sum is σ = 1011643776. Its totient is φ = 77266944.

The previous prime is 288433151. The next prime is 288433163. The reversal of 288433152 is 251334882.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (288433151) 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 23 ways as a sum of consecutive naturals, for example, 1096573 + ... + 1096835.

It is an arithmetic number, because the mean of its divisors is an integer number (3831984).

Almost surely, 2^288433152 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 288433152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505821888).

288433152 is an abundant number, since it is smaller than the sum of its proper divisors (723210624).

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

288433152 is a wasteful number, since it uses less digits than its factorization.

288433152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 292 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 288433152 is about 16983.3198168085. The cubic root of 288433152 is about 660.7163571782.

The spelling of 288433152 in words is "two hundred eighty-eight million, four hundred thirty-three thousand, one hundred fifty-two".