528329983104 has 1280 divisors, whose sum is σ = 2100944102400. Its totient is φ = 127650816000.

The previous prime is 528329983063. The next prime is 528329983127. The reversal of 528329983104 is 401389923825.

528329983104 is a `hidden beast` number, since 528 + 3 + 2 + 9 + 9 + 8 + 3 + 104 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 925271139 + ... + 925271709.

It is an arithmetic number, because the mean of its divisors is an integer number (1641362580).

Almost surely, 2^528329983104 is an apocalyptic number.

528329983104 is a gapful number since it is divisible by the number (54) 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 528329983104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1050472051200).

528329983104 is an abundant number, since it is smaller than the sum of its proper divisors (1572614119296).

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

528329983104 is a wasteful number, since it uses less digits than its factorization.

528329983104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 695 (or 674 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 528329983104 in words is "five hundred twenty-eight billion, three hundred twenty-nine million, nine hundred eighty-three thousand, one hundred four".