10509728 has 12 divisors (see below), whose sum is σ = 20691090. Its totient is φ = 5254848.

The previous prime is 10509703. The next prime is 10509773. The reversal of 10509728 is 82790501.

It can be written as a sum of positive squares in only one way, i.e., 5438224 + 5071504 = 2332^2 + 2252^2 .

It is a super-2 number, since 2×10509728² = 220908765267968, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32), and also a Moran number because the ratio is a prime number: 328429 = 10509728 / (1 + 0 + 5 + 0 + 9 + 7 + 2 + 8).

It is a junction number, because it is equal to n+sod(n) for n = 10509694 and 10509703.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 164183 + ... + 164246.

Almost surely, 2^10509728 is an apocalyptic number.

It is an amenable number.

10509728 is a deficient number, since it is larger than the sum of its proper divisors (10181362).

10509728 is an equidigital number, since it uses as much as digits as its factorization.

10509728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328439 (or 328431 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 32.

The square root of 10509728 is about 3241.8710646785. The cubic root of 10509728 is about 219.0435614575.

The spelling of 10509728 in words is "ten million, five hundred nine thousand, seven hundred twenty-eight".