32872338827328 has 1792 divisors, whose sum is σ = 123537693081600. Its totient is φ = 7440076800000.

The previous prime is 32872338827261. The next prime is 32872338827329. The reversal of 32872338827328 is 82372883327823.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (32872338827329) by changing a digit.

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 255 ways as a sum of consecutive naturals, for example, 54878695573 + ... + 54878696171.

It is an arithmetic number, because the mean of its divisors is an integer number (68938444800).

Almost surely, 2^{32872338827328} 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 32872338827328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61768846540800).

32872338827328 is an abundant number, since it is smaller than the sum of its proper divisors (90665354254272).

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

32872338827328 is a wasteful number, since it uses less digits than its factorization.

32872338827328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 888 (or 878 counting only the distinct ones).

The product of its digits is 260112384, while the sum is 66.

The spelling of 32872338827328 in words is "thirty-two trillion, eight hundred seventy-two billion, three hundred thirty-eight million, eight hundred twenty-seven thousand, three hundred twenty-eight".