288125792 has 96 divisors (see below), whose sum is σ = 627056640. Its totient is φ = 129771520.

The previous prime is 288125779. The next prime is 288125813. The reversal of 288125792 is 297521882.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1508417 + ... + 1508607.

It is an arithmetic number, because the mean of its divisors is an integer number (6531840).

Almost surely, 2^288125792 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 288125792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313528320).

288125792 is an abundant number, since it is smaller than the sum of its proper divisors (338930848).

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

288125792 is a wasteful number, since it uses less digits than its factorization.

288125792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 316 counting only the distinct ones).

The product of its digits is 161280, while the sum is 44.

The square root of 288125792 is about 16974.2685262134. The cubic root of 288125792 is about 660.4815830137.

The spelling of 288125792 in words is "two hundred eighty-eight million, one hundred twenty-five thousand, seven hundred ninety-two".