8012928 has 128 divisors (see below), whose sum is σ = 26634240. Its totient is φ = 2073600.

The previous prime is 8012923. The next prime is 8012929. The reversal of 8012928 is 8292108.

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

It is a junction number, because it is equal to n+sod(n) for n = 8012895 and 8012904.

It is not an unprimeable number, because it can be changed into a prime (8012923) 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, 29433 + ... + 29703.

It is an arithmetic number, because the mean of its divisors is an integer number (208080).

Almost surely, 2^8012928 is an apocalyptic number.

8012928 is a gapful number since it is divisible by the number (88) 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 8012928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13317120).

8012928 is an abundant number, since it is smaller than the sum of its proper divisors (18621312).

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

8012928 is a wasteful number, since it uses less digits than its factorization.

8012928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 8012928 is about 2830.7115713191. The cubic root of 8012928 is about 200.1076753530.

The spelling of 8012928 in words is "eight million, twelve thousand, nine hundred twenty-eight".