288649728 has 120 divisors (see below), whose sum is σ = 856083228. Its totient is φ = 93560832.

The previous prime is 288649709. The next prime is 288649733. The reversal of 288649728 is 827946882.

It can be written as a sum of positive squares in 2 ways, for example, as 280629504 + 8020224 = 16752^2 + 2832^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 169650 + ... + 171342.

Almost surely, 2^288649728 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 288649728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428041614).

288649728 is an abundant number, since it is smaller than the sum of its proper divisors (567433500).

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

288649728 is a wasteful number, since it uses less digits than its factorization.

288649728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1754 (or 1735 counting only the distinct ones).

The product of its digits is 3096576, while the sum is 54.

The square root of 288649728 is about 16989.6947588825. The cubic root of 288649728 is about 660.8816866539.

The spelling of 288649728 in words is "two hundred eighty-eight million, six hundred forty-nine thousand, seven hundred twenty-eight".