8072928 has 36 divisors (see below), whose sum is σ = 22958208. Its totient is φ = 2690880.

The previous prime is 8072921. The next prime is 8072957. The reversal of 8072928 is 8292708.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 8072892 and 8072901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8072921) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 13728 + ... + 14303.

It is an arithmetic number, because the mean of its divisors is an integer number (637728).

Almost surely, 2^8072928 is an apocalyptic number.

It is an amenable number.

8072928 is an abundant number, since it is smaller than the sum of its proper divisors (14885280).

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

8072928 is a wasteful number, since it uses less digits than its factorization.

8072928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28047 (or 28036 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 8072928 is about 2841.2898479388. The cubic root of 8072928 is about 200.6058959304.

The spelling of 8072928 in words is "eight million, seventy-two thousand, nine hundred twenty-eight".