32528768256 has 432 divisors, whose sum is σ = 103197144960. Its totient is φ = 9821306880.

The previous prime is 32528768249. The next prime is 32528768273. The reversal of 32528768256 is 65286782523.

It is a happy number.

32528768256 is a `hidden beast` number, since 3 + 2 + 528 + 7 + 68 + 2 + 56 = 666.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 93742675 + ... + 93743021.

It is an arithmetic number, because the mean of its divisors is an integer number (238882280).

Almost surely, 2^32528768256 is an apocalyptic number.

32528768256 is a gapful number since it is divisible by the number (36) 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 32528768256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51598572480).

32528768256 is an abundant number, since it is smaller than the sum of its proper divisors (70668376704).

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

32528768256 is a wasteful number, since it uses less digits than its factorization.

32528768256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482 (or 465 counting only the distinct ones).

The product of its digits is 9676800, while the sum is 54.

The spelling of 32528768256 in words is "thirty-two billion, five hundred twenty-eight million, seven hundred sixty-eight thousand, two hundred fifty-six".