32228307605232 has 320 divisors, whose sum is σ = 94712800215040. Its totient is φ = 10489603348224.

The previous prime is 32228307605203. The next prime is 32228307605243. The reversal of 32228307605232 is 23250670382223.

32228307605232 is a `hidden beast` number, since 3 + 2 + 2 + 2 + 8 + 3 + 0 + 7 + 605 + 2 + 32 = 666.

It is a super-2 number, since 2×32228307605232² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4877900073 + ... + 4877906679.

It is an arithmetic number, because the mean of its divisors is an integer number (295977500672).

Almost surely, 2^{32228307605232} 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 32228307605232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47356400107520).

32228307605232 is an abundant number, since it is smaller than the sum of its proper divisors (62484492609808).

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

32228307605232 is a wasteful number, since it uses less digits than its factorization.

32228307605232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8145 (or 8133 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 45.

Adding to 32228307605232 its reverse (23250670382223), we get a palindrome (55478977987455).

The spelling of 32228307605232 in words is "thirty-two trillion, two hundred twenty-eight billion, three hundred seven million, six hundred five thousand, two hundred thirty-two".