278928 has 60 divisors (see below), whose sum is σ = 846300. Its totient is φ = 85248.

The previous prime is 278917. The next prime is 278947. The reversal of 278928 is 829872.

It can be written as a sum of positive squares in 2 ways, for example, as 36864 + 242064 = 192^2 + 492^2 .

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

It is a zygodrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 278892 and 278901.

It is an unprimeable number.

278928 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1798 + ... + 1946.

It is an arithmetic number, because the mean of its divisors is an integer number (14105).

2²⁷⁸⁹²⁸ 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 278928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423150).

278928 is an abundant number, since it is smaller than the sum of its proper divisors (567372).

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

278928 is a wasteful number, since it uses less digits than its factorization.

278928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 167 counting only the distinct ones).

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

The square root of 278928 is about 528.1363460320. The cubic root of 278928 is about 65.3377293539.

The spelling of 278928 in words is "two hundred seventy-eight thousand, nine hundred twenty-eight".