7928224 has 24 divisors (see below), whose sum is σ = 15758820. Its totient is φ = 3926016.

The previous prime is 7928201. The next prime is 7928257. The reversal of 7928224 is 4228297.

It can be written as a sum of positive squares in 2 ways, for example, as 7118224 + 810000 = 2668^2 + 900^2 .

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is a d-powerful number, because it can be written as 7⁸ + 9³ + 2 + 8⁵ + 2¹⁵ + 2²¹ + 4 .

It is a self number, because there is not a number n which added to its sum of digits gives 7928224.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2352 + ... + 4624.

Almost surely, 2^7928224 is an apocalyptic number.

It is an amenable number.

7928224 is a deficient number, since it is larger than the sum of its proper divisors (7830596).

7928224 is a wasteful number, since it uses less digits than its factorization.

7928224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2392 (or 2384 counting only the distinct ones).

The product of its digits is 16128, while the sum is 34.

The square root of 7928224 is about 2815.7102123621. The cubic root of 7928224 is about 199.4000688793.

The spelling of 7928224 in words is "seven million, nine hundred twenty-eight thousand, two hundred twenty-four".