528090768 has 60 divisors (see below), whose sum is σ = 1484150668. Its totient is φ = 175288320.

The previous prime is 528090767. The next prime is 528090779. The reversal of 528090768 is 867090825.

528090768 is nontrivially palindromic in base 15.

It can be written as a sum of positive squares in 2 ways, for example, as 425514384 + 102576384 = 20628^2 + 10128^2 .

It is not an unprimeable number, because it can be changed into a prime (528090767) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27096 + ... + 42312.

Almost surely, 2^528090768 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 528090768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (742075334).

528090768 is an abundant number, since it is smaller than the sum of its proper divisors (956059900).

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

528090768 is a wasteful number, since it uses less digits than its factorization.

528090768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15472 (or 15463 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 528090768 is about 22980.2255863601. The cubic root of 528090768 is about 808.2943165306.

The spelling of 528090768 in words is "five hundred twenty-eight million, ninety thousand, seven hundred sixty-eight".