528328313856 has 1056 divisors, whose sum is σ = 1892693537280. Its totient is φ = 144091643904.

The previous prime is 528328313833. The next prime is 528328313857. The reversal of 528328313856 is 658313823825.

528328313856 is a `hidden beast` number, since 5 + 283 + 283 + 1 + 3 + 85 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (528328313857) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5446683600 + ... + 5446683696.

Almost surely, 2^528328313856 is an apocalyptic number.

528328313856 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 528328313856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (946346768640).

528328313856 is an abundant number, since it is smaller than the sum of its proper divisors (1364365223424).

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

528328313856 is an equidigital number, since it uses as much as digits as its factorization.

528328313856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 221 counting only the distinct ones).

The product of its digits is 8294400, while the sum is 54.

The spelling of 528328313856 in words is "five hundred twenty-eight billion, three hundred twenty-eight million, three hundred thirteen thousand, eight hundred fifty-six".