Sort collections of docs By the biggest embedded Doc with mongodb

I have this schema with mongoose

schema = new Schema({ id: { type: String, }, embedded: [embeddedSchema] });

embeddedSchema = new Schema({ value: { type: String, }, });

This can produce something like :

{
    "_id" : ObjectId("5454f4f1073cc3b529320f79"),
    "embedded" : [ 
        {
            "value" : 123,

        }            {
            "value" : 123,

        }
        {
            "value" : 123423,

        }
    ],
}

/* 1 */
{
    "id" : ObjectId("5454f508910ef3b82970f11d"),
    "embedded" : [ 
        {
            "value" : 1,

        }            {
            "value" : 2,

        }
        {
            "value" : 9999999,

        }
}

I would to sort the schema collection by the biggest value of embedded doc. Which query can produce this kind of result ?

Thanks you!