32221849728 has 64 divisors (see below), whose sum is σ = 85707760320. Its totient is φ = 10725749760.

The previous prime is 32221849727. The next prime is 32221849729. The reversal of 32221849728 is 82794812223.

It is an interprime number because it is at equal distance from previous prime (32221849727) and next prime (32221849729).

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (32221849727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 221458 + ... + 336878.

It is an arithmetic number, because the mean of its divisors is an integer number (1339183755).

Almost surely, 2^32221849728 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 32221849728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42853880160).

32221849728 is an abundant number, since it is smaller than the sum of its proper divisors (53485910592).

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

32221849728 is a wasteful number, since it uses less digits than its factorization.

32221849728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116165 (or 116153 counting only the distinct ones).

The product of its digits is 774144, while the sum is 48.

The spelling of 32221849728 in words is "thirty-two billion, two hundred twenty-one million, eight hundred forty-nine thousand, seven hundred twenty-eight".