528288768 has 264 divisors, whose sum is σ = 1839352320. Its totient is φ = 142663680.

The previous prime is 528288767. The next prime is 528288779. The reversal of 528288768 is 867882825.

It is not an unprimeable number, because it can be changed into a prime (528288767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1225513 + ... + 1225943.

Almost surely, 2^528288768 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 528288768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (919676160).

528288768 is an abundant number, since it is smaller than the sum of its proper divisors (1311063552).

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

528288768 is a wasteful number, since it uses less digits than its factorization.

528288768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483 (or 462 counting only the distinct ones).

The product of its digits is 3440640, while the sum is 54.

The square root of 528288768 is about 22984.5332343296. The cubic root of 528288768 is about 808.3953233314.

The spelling of 528288768 in words is "five hundred twenty-eight million, two hundred eighty-eight thousand, seven hundred sixty-eight".