288825732 has 108 divisors (see below), whose sum is σ = 818328420. Its totient is φ = 85752576.

The previous prime is 288825701. The next prime is 288825751. The reversal of 288825732 is 237528882.

It can be written as a sum of positive squares in 6 ways, for example, as 115218756 + 173606976 = 10734^2 + 13176^2 .

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 35 ways as a sum of consecutive naturals, for example, 175618 + ... + 177254.

It is an arithmetic number, because the mean of its divisors is an integer number (7577115).

Almost surely, 2^288825732 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 288825732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409164210).

288825732 is an abundant number, since it is smaller than the sum of its proper divisors (529502688).

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

288825732 is a wasteful number, since it uses less digits than its factorization.

288825732 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1702 (or 1684 counting only the distinct ones).

The product of its digits is 430080, while the sum is 45.

The square root of 288825732 is about 16994.8736976772. The cubic root of 288825732 is about 661.0159834336.

The spelling of 288825732 in words is "two hundred eighty-eight million, eight hundred twenty-five thousand, seven hundred thirty-two".