7728224 has 24 divisors (see below), whose sum is σ = 17389008. Its totient is φ = 3312000.

The previous prime is 7728221. The next prime is 7728271. The reversal of 7728224 is 4228277.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7728221) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17027 + ... + 17474.

It is an arithmetic number, because the mean of its divisors is an integer number (724542).

Almost surely, 2^7728224 is an apocalyptic number.

It is an amenable number.

7728224 is an abundant number, since it is smaller than the sum of its proper divisors (9660784).

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

7728224 is a wasteful number, since it uses less digits than its factorization.

7728224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34518 (or 34510 counting only the distinct ones).

The product of its digits is 12544, while the sum is 32.

The square root of 7728224 is about 2779.9683451435. The cubic root of 7728224 is about 197.7090581251.

The spelling of 7728224 in words is "seven million, seven hundred twenty-eight thousand, two hundred twenty-four".