688028 has 24 divisors (see below), whose sum is σ = 1384320. Its totient is φ = 295920.

The previous prime is 688027. The next prime is 688031. The reversal of 688028 is 820886.

It is a junction number, because it is equal to n+sod(n) for n = 687985 and 688003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (688027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 425 + ... + 1247.

It is an arithmetic number, because the mean of its divisors is an integer number (57680).

2⁶⁸⁸⁰²⁸ is an apocalyptic number.

It is an amenable number.

688028 is an abundant number, since it is smaller than the sum of its proper divisors (696292).

It is a weird number, because it is abundant, but not a pseudoperfect number.

688028 is a wasteful number, since it uses less digits than its factorization.

688028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 857 (or 855 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 32.

The square root of 688028 is about 829.4745324602. The cubic root of 688028 is about 88.2812968308.

The spelling of 688028 in words is "six hundred eighty-eight thousand, twenty-eight".