528640100352 has 768 divisors, whose sum is σ = 1952632281600. Its totient is φ = 139314069504.

The previous prime is 528640100327. The next prime is 528640100369. The reversal of 528640100352 is 253001046825.

528640100352 is a `hidden beast` number, since 5 + 2 + 8 + 640 + 1 + 0 + 0 + 3 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 63 ways as a sum of consecutive naturals, for example, 407586168 + ... + 407587464.

It is an arithmetic number, because the mean of its divisors is an integer number (2542489950).

Almost surely, 2^528640100352 is an apocalyptic number.

528640100352 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 528640100352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (976316140800).

528640100352 is an abundant number, since it is smaller than the sum of its proper divisors (1423992181248).

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

528640100352 is an equidigital number, since it uses as much as digits as its factorization.

528640100352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1360 (or 1322 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 528640100352 in words is "five hundred twenty-eight billion, six hundred forty million, one hundred thousand, three hundred fifty-two".