80928 has 36 divisors (see below), whose sum is σ = 230958. Its totient is φ = 26880.

The previous prime is 80923. The next prime is 80929. The reversal of 80928 is 82908.

It can be written as a sum of positive squares in only one way, i.e., 63504 + 17424 = 252^2 + 132^2 .

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

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (80923) by changing a digit.

80928 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 148 + ... + 428.

2⁸⁰⁹²⁸ 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 80928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115479).

80928 is an abundant number, since it is smaller than the sum of its proper divisors (150030).

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

80928 is a wasteful number, since it uses less digits than its factorization.

80928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 80928 is about 284.4784701871. The cubic root of 80928 is about 43.2546633126.

It can be divided in two parts, 8092 and 8, that added together give a square (8100 = 90²).

The spelling of 80928 in words is "eighty thousand, nine hundred twenty-eight".