288863232 has 264 divisors, whose sum is σ = 952100640. Its totient is φ = 77414400.

The previous prime is 288863227. The next prime is 288863261. The reversal of 288863232 is 232368882.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 2859982 + ... + 2860082.

Almost surely, 2^288863232 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 288863232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476050320).

288863232 is an abundant number, since it is smaller than the sum of its proper divisors (663237408).

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

288863232 is a wasteful number, since it uses less digits than its factorization.

288863232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 132 counting only the distinct ones).

The product of its digits is 221184, while the sum is 42.

The square root of 288863232 is about 16995.9769357339. The cubic root of 288863232 is about 661.0445901030.

The spelling of 288863232 in words is "two hundred eighty-eight million, eight hundred sixty-three thousand, two hundred thirty-two".