288432816 has 80 divisors (see below), whose sum is σ = 868992000. Its totient is φ = 82404672.

The previous prime is 288432791. The next prime is 288432817. The reversal of 288432816 is 618234882.

It is a happy number.

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 not an unprimeable number, because it can be changed into a prime (288432817) 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, 7705 + ... + 25223.

It is an arithmetic number, because the mean of its divisors is an integer number (10862400).

Almost surely, 2^288432816 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 288432816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434496000).

288432816 is an abundant number, since it is smaller than the sum of its proper divisors (580559184).

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

288432816 is a wasteful number, since it uses less digits than its factorization.

288432816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17551 (or 17531 counting only the distinct ones).

The product of its digits is 147456, while the sum is 42.

The square root of 288432816 is about 16983.3099247467. The cubic root of 288432816 is about 660.7161006188.

The spelling of 288432816 in words is "two hundred eighty-eight million, four hundred thirty-two thousand, eight hundred sixteen".