288828928 has 40 divisors (see below), whose sum is σ = 591212160. Its totient is φ = 140881920.

The previous prime is 288828907. The next prime is 288828949. The reversal of 288828928 is 829828882.

It is an interprime number because it is at equal distance from previous prime (288828907) and next prime (288828949).

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 14113 + ... + 27871.

It is an arithmetic number, because the mean of its divisors is an integer number (14780304).

Almost surely, 2^288828928 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 288828928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295606080).

288828928 is an abundant number, since it is smaller than the sum of its proper divisors (302383232).

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

288828928 is an equidigital number, since it uses as much as digits as its factorization.

288828928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13818 (or 13802 counting only the distinct ones).

The product of its digits is 2359296, while the sum is 55.

The square root of 288828928 is about 16994.9677257711. The cubic root of 288828928 is about 661.0184215812.

The spelling of 288828928 in words is "two hundred eighty-eight million, eight hundred twenty-eight thousand, nine hundred twenty-eight".