32428281600000 has 3456 divisors, whose sum is σ = 143086521876480. Its totient is φ = 6967296000000.

The previous prime is 32428281599999. The next prime is 32428281600037. The reversal of 32428281600000 is 618282423.

32428281600000 is a `hidden beast` number, since 3 + 2 + 4 + 28 + 28 + 1 + 600 + 0 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 255340799937 + ... + 255340800063.

It is an arithmetic number, because the mean of its divisors is an integer number (41402350080).

Almost surely, 2^{32428281600000} is an apocalyptic number.

32428281600000 is a gapful number since it is divisible by the number (30) 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 32428281600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71543260938240).

32428281600000 is an abundant number, since it is smaller than the sum of its proper divisors (110658240276480).

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

32428281600000 is a wasteful number, since it uses less digits than its factorization.

32428281600000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

Adding to 32428281600000 its reverse (618282423), we get a palindrome (32428899882423).

The spelling of 32428281600000 in words is "thirty-two trillion, four hundred twenty-eight billion, two hundred eighty-one million, six hundred thousand".