67828 has 12 divisors (see below), whose sum is σ = 122752. Its totient is φ = 32760.

The previous prime is 67819. The next prime is 67829. The reversal of 67828 is 82876.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a self number, because there is not a number n which added to its sum of digits gives 67828.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67829) by changing a digit.

67828 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, 150 + ... + 397.

2⁶⁷⁸²⁸ is an apocalyptic number.

It is an amenable number.

67828 is a deficient number, since it is larger than the sum of its proper divisors (54924).

67828 is a wasteful number, since it uses less digits than its factorization.

67828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 582 (or 580 counting only the distinct ones).

The product of its digits is 5376, while the sum is 31.

The square root of 67828 is about 260.4380924519. The cubic root of 67828 is about 40.7821080079.

The spelling of 67828 in words is "sixty-seven thousand, eight hundred twenty-eight".