A pure tone is an unmodulated signal — it carries no data. Almost nobody intentionally transmits a pure tone — it would be wasteful. The exceptions are the time-and-frequency reference signals like WWV, but they have modulated time information in addition to the carrier which serves as a frequency reference signal.
What you are receiving is almost certainly unintentional transmission. Any oscillator, or clock in the digital-electronics sense, usually ends up radiating some of its output through the attached circuitry. Particularly when the oscillator is inside the receiving equipment, it is known as a “spur” or “birdie”.
The popular RTL-SDR has a 28.8 MHz oscillator inside, so you will see a signal there if the WebSDR you were using is based on that hardware.
Other unintentional transmissions may be more complex than pure tones, either because they are intentionally modulated signals intended to pass through cables (e.g. USB) or because they are controlled or perturbed in some fashion (e.g. switching power supplies under varying load).