288921630 has 64 divisors (see below), whose sum is σ = 766153728. Its totient is φ = 69358080.

The previous prime is 288921617. The next prime is 288921637. The reversal of 288921630 is 36129882.

It is a happy number.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (288921637) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 586 + ... + 24045.

It is an arithmetic number, because the mean of its divisors is an integer number (11971152).

Almost surely, 2^288921630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 288921630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383076864).

288921630 is an abundant number, since it is smaller than the sum of its proper divisors (477232098).

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

288921630 is a wasteful number, since it uses less digits than its factorization.

288921630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24681.

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 288921630 is about 16997.6948437134. The cubic root of 288921630 is about 661.0891337677.

The spelling of 288921630 in words is "two hundred eighty-eight million, nine hundred twenty-one thousand, six hundred thirty".