28968 has 32 divisors (see below), whose sum is σ = 77760. Its totient is φ = 8960.

The previous prime is 28961. The next prime is 28979. The reversal of 28968 is 86982.

28968 = T₅₂ + T₅₃ + ... + T₆₇.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (28961) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 373 + ... + 443.

It is an arithmetic number, because the mean of its divisors is an integer number (2430).

2²⁸⁹⁶⁸ 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 28968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38880).

28968 is an abundant number, since it is smaller than the sum of its proper divisors (48792).

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

28968 is a wasteful number, since it uses less digits than its factorization.

28968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 93 counting only the distinct ones).

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

The square root of 28968 is about 170.1998824911. The cubic root of 28968 is about 30.7118636221.

The spelling of 28968 in words is "twenty-eight thousand, nine hundred sixty-eight".