288250032 has 80 divisors (see below), whose sum is σ = 859389440. Its totient is φ = 81547776.

The previous prime is 288250021. The next prime is 288250037. The reversal of 288250032 is 230052882.

It is not an unprimeable number, because it can be changed into a prime (288250037) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30444 + ... + 38772.

It is an arithmetic number, because the mean of its divisors is an integer number (10742368).

Almost surely, 2^288250032 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 288250032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429694720).

288250032 is an abundant number, since it is smaller than the sum of its proper divisors (571139408).

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

288250032 is a wasteful number, since it uses less digits than its factorization.

288250032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8450 (or 8444 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 288250032 is about 16977.9277887497. The cubic root of 288250032 is about 660.5765027125.

The spelling of 288250032 in words is "two hundred eighty-eight million, two hundred fifty thousand, thirty-two".