288820348872 has 192 divisors, whose sum is σ = 798964622400. Its totient is φ = 86938790400.

The previous prime is 288820348853. The next prime is 288820348939. The reversal of 288820348872 is 278843028882.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 436944222 + ... + 436944882.

It is an arithmetic number, because the mean of its divisors is an integer number (4161274075).

Almost surely, 2^288820348872 is an apocalyptic number.

288820348872 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 288820348872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399482311200).

288820348872 is an abundant number, since it is smaller than the sum of its proper divisors (510144273528).

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

288820348872 is a wasteful number, since it uses less digits than its factorization.

288820348872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1468 (or 1453 counting only the distinct ones).

The product of its (nonzero) digits is 22020096, while the sum is 60.

The spelling of 288820348872 in words is "two hundred eighty-eight billion, eight hundred twenty million, three hundred forty-eight thousand, eight hundred seventy-two".