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10728929 is a prime number
BaseRepresentation
bin101000111011…
…010111100001
3202012002022202
4220323113201
510221311204
61021542545
7160123451
oct50732741
922162282
1010728929
116068892
123714a55
1322b85a3
1415d3d61
15e1de1e
hexa3b5e1

10728929 has 2 divisors, whose sum is σ = 10728930. Its totient is φ = 10728928.

The previous prime is 10728923. The next prime is 10728937. The reversal of 10728929 is 92982701.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9909904 + 819025 = 3148^2 + 905^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10728929 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 10728892 and 10728901.

It is not a weakly prime, because it can be changed into another prime (10728923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5364464 + 5364465.

It is an arithmetic number, because the mean of its divisors is an integer number (5364465).

Almost surely, 210728929 is an apocalyptic number.

It is an amenable number.

10728929 is a deficient number, since it is larger than the sum of its proper divisors (1).

10728929 is an equidigital number, since it uses as much as digits as its factorization.

10728929 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18144, while the sum is 38.

The square root of 10728929 is about 3275.5043886400. The cubic root of 10728929 is about 220.5559561336. Note that the first 3 decimals are identical.

It can be divided in two parts, 1072 and 8929, that added together give a palindrome (10001).

The spelling of 10728929 in words is "ten million, seven hundred twenty-eight thousand, nine hundred twenty-nine".