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728620129 is a prime number
BaseRepresentation
bin101011011011011…
…101110001100001
31212210000201220201
4223123131301201
52443011321004
6200144505201
724025111636
oct5333356141
91783021821
10728620129
113443180a6
1218401b201
13b7c50293
146caa818d
1543e776a4
hex2b6ddc61

728620129 has 2 divisors, whose sum is σ = 728620130. Its totient is φ = 728620128.

The previous prime is 728620111. The next prime is 728620159. The reversal of 728620129 is 921026827.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 617423104 + 111197025 = 24848^2 + 10545^2 .

It is a cyclic number.

It is not a de Polignac number, because 728620129 - 225 = 695065697 is a prime.

It is a super-3 number, since 3×7286201293 (a number of 28 digits) contains 333 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (728620159) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 364310064 + 364310065.

It is an arithmetic number, because the mean of its divisors is an integer number (364310065).

Almost surely, 2728620129 is an apocalyptic number.

It is an amenable number.

728620129 is a deficient number, since it is larger than the sum of its proper divisors (1).

728620129 is an equidigital number, since it uses as much as digits as its factorization.

728620129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24192, while the sum is 37.

The square root of 728620129 is about 26992.9644352005. The cubic root of 728620129 is about 899.8436473248.

The spelling of 728620129 in words is "seven hundred twenty-eight million, six hundred twenty thousand, one hundred twenty-nine".