8164844928 has 128 divisors (see below), whose sum is σ = 24224469600. Its totient is φ = 2707292160.

The previous prime is 8164844927. The next prime is 8164844999. The reversal of 8164844928 is 8294484618.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 (8164844927) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 660888 + ... + 673128.

Almost surely, 2^8164844928 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 8164844928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12112234800).

8164844928 is an abundant number, since it is smaller than the sum of its proper divisors (16059624672).

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

8164844928 is a wasteful number, since it uses less digits than its factorization.

8164844928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12457 (or 12439 counting only the distinct ones).

The product of its digits is 3538944, while the sum is 54.

The square root of 8164844928 is about 90359.5314728889. The cubic root of 8164844928 is about 2013.6437891889.

The spelling of 8164844928 in words is "eight billion, one hundred sixty-four million, eight hundred forty-four thousand, nine hundred twenty-eight".