288004552992 has 384 divisors, whose sum is σ = 954490521600. Its totient is φ = 83754611712.

The previous prime is 288004552967. The next prime is 288004553033. The reversal of 288004552992 is 299255400882.

It is a happy number.

288004552992 is a `hidden beast` number, since 2 + 8 + 80 + 0 + 4 + 552 + 9 + 9 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 107342883 + ... + 107345565.

It is an arithmetic number, because the mean of its divisors is an integer number (2485652400).

Almost surely, 2^288004552992 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 288004552992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477245260800).

288004552992 is an abundant number, since it is smaller than the sum of its proper divisors (666485968608).

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

288004552992 is a wasteful number, since it uses less digits than its factorization.

288004552992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3237 (or 3223 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 288004552992 in words is "two hundred eighty-eight billion, four million, five hundred fifty-two thousand, nine hundred ninety-two".