528868487952 has 450 divisors, whose sum is σ = 1891577468682. Its totient is φ = 142211801088.

The previous prime is 528868487897. The next prime is 528868488067. The reversal of 528868487952 is 259784868825.

It is a happy number.

528868487952 is a `hidden beast` number, since 5 + 2 + 88 + 68 + 487 + 9 + 5 + 2 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 367919886096 + 160948601856 = 606564^2 + 401184^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 18338248 + ... + 18367064.

Almost surely, 2^528868487952 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 528868487952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (945788734341).

528868487952 is an abundant number, since it is smaller than the sum of its proper divisors (1362708980730).

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

528868487952 is a wasteful number, since it uses less digits than its factorization.

528868487952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28885 (or 28846 counting only the distinct ones).

The product of its digits is 619315200, while the sum is 72.

The spelling of 528868487952 in words is "five hundred twenty-eight billion, eight hundred sixty-eight million, four hundred eighty-seven thousand, nine hundred fifty-two".