528325009968 has 320 divisors, whose sum is σ = 1700569728000. Its totient is φ = 137908334592.

The previous prime is 528325009913. The next prime is 528325009991. The reversal of 528325009968 is 869900523825.

It is a super-2 number, since 2×528325009968² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 264558346 + ... + 264560342.

It is an arithmetic number, because the mean of its divisors is an integer number (5314280400).

Almost surely, 2^528325009968 is an apocalyptic number.

528325009968 is a gapful number since it is divisible by the number (58) 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 528325009968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (850284864000).

528325009968 is an abundant number, since it is smaller than the sum of its proper divisors (1172244718032).

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

528325009968 is a wasteful number, since it uses less digits than its factorization.

528325009968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3492 (or 3486 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 57.

The spelling of 528325009968 in words is "five hundred twenty-eight billion, three hundred twenty-five million, nine thousand, nine hundred sixty-eight".