180928 has 28 divisors (see below), whose sum is σ = 393192. Its totient is φ = 81920.

The previous prime is 180907. The next prime is 180949. The reversal of 180928 is 829081.

It is an interprime number because it is at equal distance from previous prime (180907) and next prime (180949).

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a nialpdrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 180896 and 180905.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 576 + ... + 832.

2¹⁸⁰⁹²⁸ 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 180928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196596).

180928 is an abundant number, since it is smaller than the sum of its proper divisors (212264).

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

180928 is a wasteful number, since it uses less digits than its factorization.

180928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 28.

The square root of 180928 is about 425.3563212179. The cubic root of 180928 is about 56.5590267293.

Subtracting from 180928 its product of nonzero digits (1152), we obtain a square (179776 = 424²).

The spelling of 180928 in words is "one hundred eighty thousand, nine hundred twenty-eight".