10728224 has 96 divisors (see below), whose sum is σ = 25338096. Its totient is φ = 4423680.

The previous prime is 10728209. The next prime is 10728229. The reversal of 10728224 is 42282701.

10728224 = T₄₈₅ + T₄₈₆ + ... + T₅₆₂.

It can be written as a sum of positive squares in 8 ways, for example, as 4276624 + 6451600 = 2068^2 + 2540^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 10728193 and 10728202.

It is not an unprimeable number, because it can be changed into a prime (10728229) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 261644 + ... + 261684.

Almost surely, 2^10728224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10728224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12669048).

10728224 is an abundant number, since it is smaller than the sum of its proper divisors (14609872).

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

10728224 is a wasteful number, since it uses less digits than its factorization.

10728224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 26.

The square root of 10728224 is about 3275.3967698586. The cubic root of 10728224 is about 220.5511251029.

The spelling of 10728224 in words is "ten million, seven hundred twenty-eight thousand, two hundred twenty-four".