288949607232 has 448 divisors, whose sum is σ = 932475371520. Its totient is φ = 77768294400.

The previous prime is 288949607231. The next prime is 288949607239. The reversal of 288949607232 is 232706949882.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (288949607231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 164268369 + ... + 164270127.

It is an arithmetic number, because the mean of its divisors is an integer number (2081418240).

Almost surely, 2^288949607232 is an apocalyptic number.

288949607232 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 288949607232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466237685760).

288949607232 is an abundant number, since it is smaller than the sum of its proper divisors (643525764288).

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

288949607232 is a wasteful number, since it uses less digits than its factorization.

288949607232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2022 (or 2012 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 60.

The spelling of 288949607232 in words is "two hundred eighty-eight billion, nine hundred forty-nine million, six hundred seven thousand, two hundred thirty-two".