528978567312 has 960 divisors, whose sum is σ = 1789205483520. Its totient is φ = 144521625600.

The previous prime is 528978567283. The next prime is 528978567317. The reversal of 528978567312 is 213765879825.

528978567312 is a `hidden beast` number, since 52 + 8 + 9 + 7 + 8 + 567 + 3 + 12 = 666.

It is a super-2 number, since 2×528978567312² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 528978567312.

It is not an unprimeable number, because it can be changed into a prime (528978567317) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5943579364 + ... + 5943579452.

It is an arithmetic number, because the mean of its divisors is an integer number (1863755712).

Almost surely, 2^528978567312 is an apocalyptic number.

528978567312 is a gapful number since it is divisible by the number (52) 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 528978567312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (894602741760).

528978567312 is an abundant number, since it is smaller than the sum of its proper divisors (1260226916208).

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

528978567312 is a wasteful number, since it uses less digits than its factorization.

528978567312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 295 counting only the distinct ones).

The product of its digits is 50803200, while the sum is 63.

The spelling of 528978567312 in words is "five hundred twenty-eight billion, nine hundred seventy-eight million, five hundred sixty-seven thousand, three hundred twelve".