67028 has 12 divisors (see below), whose sum is σ = 126420. Its totient is φ = 30912.

The previous prime is 67021. The next prime is 67033. The reversal of 67028 is 82076.

It can be written as a sum of positive squares in 2 ways, for example, as 31684 + 35344 = 178^2 + 188^2 .

It is a junction number, because it is equal to n+sod(n) for n = 66994 and 67012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67021) by changing a digit.

67028 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 (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 593 + ... + 696.

It is an arithmetic number, because the mean of its divisors is an integer number (10535).

2⁶⁷⁰²⁸ is an apocalyptic number.

It is an amenable number.

67028 is a deficient number, since it is larger than the sum of its proper divisors (59392).

67028 is a wasteful number, since it uses less digits than its factorization.

67028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1306 (or 1304 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 23.

The square root of 67028 is about 258.8976631799. The cubic root of 67028 is about 40.6211380944.

The spelling of 67028 in words is "sixty-seven thousand, twenty-eight".