68928 has 28 divisors (see below), whose sum is σ = 182880. Its totient is φ = 22912.

The previous prime is 68927. The next prime is 68947. The reversal of 68928 is 82986.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68927) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 13 + ... + 371.

2⁶⁸⁹²⁸ 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 68928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91440).

68928 is an abundant number, since it is smaller than the sum of its proper divisors (113952).

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

68928 is a wasteful number, since it uses less digits than its factorization.

68928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374 (or 364 counting only the distinct ones).

The product of its digits is 6912, while the sum is 33.

The square root of 68928 is about 262.5414253028. The cubic root of 68928 is about 41.0013880157.

It can be divided in two parts, 689 and 28, that added together give a palindrome (717).

The spelling of 68928 in words is "sixty-eight thousand, nine hundred twenty-eight".