528782375880 has 1152 divisors, whose sum is σ = 2117540880000. Its totient is φ = 118135480320.

The previous prime is 528782375873. The next prime is 528782375911. The reversal of 528782375880 is 88573287825.

528782375880 is a `hidden beast` number, since 5 + 28 + 7 + 8 + 23 + 7 + 588 + 0 = 666.

It is a super-2 number, since 2×528782375880² (a number of 24 digits) contains 22 as substring.

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 287 ways as a sum of consecutive naturals, for example, 1059683871 + ... + 1059684369.

It is an arithmetic number, because the mean of its divisors is an integer number (1838143125).

Almost surely, 2^528782375880 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 528782375880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1058770440000).

528782375880 is an abundant number, since it is smaller than the sum of its proper divisors (1588758504120).

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

528782375880 is a wasteful number, since it uses less digits than its factorization.

528782375880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 617 (or 590 counting only the distinct ones).

The product of its (nonzero) digits is 60211200, while the sum is 63.

The spelling of 528782375880 in words is "five hundred twenty-eight billion, seven hundred eighty-two million, three hundred seventy-five thousand, eight hundred eighty".