10628329 has 2 divisors, whose sum is σ = 10628330. Its totient is φ = 10628328.

The previous prime is 10628309. The next prime is 10628333. The reversal of 10628329 is 92382601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10627600 + 729 = 3260^2 + 27^2 .

It is an emirp because it is prime and its reverse (92382601) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10628329 - 2¹⁷ = 10497257 is a prime.

It is a super-2 number, since 2×10628329² = 225922754664482, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10628329.

It is not a weakly prime, because it can be changed into another prime (10628309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5314164 + 5314165.

It is an arithmetic number, because the mean of its divisors is an integer number (5314165).

Almost surely, 2^10628329 is an apocalyptic number.

It is an amenable number.

10628329 is a deficient number, since it is larger than the sum of its proper divisors (1).

10628329 is an equidigital number, since it uses as much as digits as its factorization.

10628329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 10628329 is about 3260.1118078986. Note that the first 3 decimals coincide. The cubic root of 10628329 is about 219.8644412825.

The spelling of 10628329 in words is "ten million, six hundred twenty-eight thousand, three hundred twenty-nine".