8216929728 has 168 divisors, whose sum is σ = 26961279072. Its totient is φ = 2343831552.

The previous prime is 8216929723. The next prime is 8216929729. The reversal of 8216929728 is 8279296128.

It is a tau number, because it is divible by the number of its divisors (168).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8216929723) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3212226 + ... + 3214782.

It is an arithmetic number, because the mean of its divisors is an integer number (160483804).

Almost surely, 2^8216929728 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 8216929728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13480639536).

8216929728 is an abundant number, since it is smaller than the sum of its proper divisors (18744349344).

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

8216929728 is a wasteful number, since it uses less digits than its factorization.

8216929728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3379 (or 3366 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 54.

The square root of 8216929728 is about 90647.2819669735. The cubic root of 8216929728 is about 2017.9164976222.

The spelling of 8216929728 in words is "eight billion, two hundred sixteen million, nine hundred twenty-nine thousand, seven hundred twenty-eight".