528412343256 has 448 divisors, whose sum is σ = 1721364825600. Its totient is φ = 148887880704.

The previous prime is 528412343227. The next prime is 528412343311. The reversal of 528412343256 is 652343214825.

528412343256 is a `hidden beast` number, since 5 + 284 + 1 + 2 + 343 + 25 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1220351616 + ... + 1220352048.

It is an arithmetic number, because the mean of its divisors is an integer number (3842332200).

Almost surely, 2^528412343256 is an apocalyptic number.

528412343256 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 528412343256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (860682412800).

528412343256 is an abundant number, since it is smaller than the sum of its proper divisors (1192952482344).

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

528412343256 is a wasteful number, since it uses less digits than its factorization.

528412343256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 810 (or 791 counting only the distinct ones).

The product of its digits is 1382400, while the sum is 45.

The spelling of 528412343256 in words is "five hundred twenty-eight billion, four hundred twelve million, three hundred forty-three thousand, two hundred fifty-six".