288973472 has 48 divisors (see below), whose sum is σ = 596937600. Its totient is φ = 137440512.

The previous prime is 288973469. The next prime is 288973481. The reversal of 288973472 is 274379882.

It is a self number, because there is not a number n which added to its sum of digits gives 288973472.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 145478 + ... + 147450.

It is an arithmetic number, because the mean of its divisors is an integer number (12436200).

Almost surely, 2^288973472 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 288973472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298468800).

288973472 is an abundant number, since it is smaller than the sum of its proper divisors (307964128).

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

288973472 is a wasteful number, since it uses less digits than its factorization.

288973472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2205 (or 2197 counting only the distinct ones).

The product of its digits is 1354752, while the sum is 50.

The square root of 288973472 is about 16999.2197468001. The cubic root of 288973472 is about 661.1286717481.

The spelling of 288973472 in words is "two hundred eighty-eight million, nine hundred seventy-three thousand, four hundred seventy-two".