How to apply a function interface which has properties as well?

How to apply the following interface?

interface Example<T> {
    (a: T): T;
    name: T | undefined;
}

const test: Example<string> = ???

I do not know what to assign to test. Have in mind I do not want to name the function included in the interface.
I found the above pattern in React:

interface FunctionComponent<P = {}> {
     (props: P, context?: any): ReactNode;
     propTypes?: WeakValidationMap<P> | undefined;
     contextTypes?: ValidationMap<any> | undefined;
     defaultProps?: Partial<P> | undefined;
     displayName?: string | undefined;
}

>Solution :

The easiest way is to just do it in two steps, using the support for property declarations on functions:

const test: Example<string> = a => a.toUpperCase();
test.name = "hey"; 

But if you want to do it in a single line you can do so via Object.assign():

const test2: Example<string> =
  Object.assign((a: string) => a.toUpperCase(), { name: "hey" }); 

Playground link to code