32446708728 has 256 divisors, whose sum is σ = 99434496000. Its totient is φ = 8617549824.

The previous prime is 32446708727. The next prime is 32446708739. The reversal of 32446708728 is 82780764423.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32446708727) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 56233176 + ... + 56233752.

It is an arithmetic number, because the mean of its divisors is an integer number (388416000).

Almost surely, 2^32446708728 is an apocalyptic number.

32446708728 is a gapful number since it is divisible by the number (38) 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 32446708728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49717248000).

32446708728 is an abundant number, since it is smaller than the sum of its proper divisors (66987787272).

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

32446708728 is a wasteful number, since it uses less digits than its factorization.

32446708728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 914 (or 910 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 51.

The spelling of 32446708728 in words is "thirty-two billion, four hundred forty-six million, seven hundred eight thousand, seven hundred twenty-eight".