32284756416 has 112 divisors (see below), whose sum is σ = 93236613120. Its totient is φ = 9777899520.

The previous prime is 32284756393. The next prime is 32284756447. The reversal of 32284756416 is 61465748223.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5672100 + ... + 5677788.

It is an arithmetic number, because the mean of its divisors is an integer number (832469760).

Almost surely, 2^32284756416 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 32284756416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46618306560).

32284756416 is an abundant number, since it is smaller than the sum of its proper divisors (60951856704).

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

32284756416 is a wasteful number, since it uses less digits than its factorization.

32284756416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8402 (or 8392 counting only the distinct ones).

The product of its digits is 1935360, while the sum is 48.

The spelling of 32284756416 in words is "thirty-two billion, two hundred eighty-four million, seven hundred fifty-six thousand, four hundred sixteen".