828728513 has 2 divisors, whose sum is σ = 828728514. Its totient is φ = 828728512.

The previous prime is 828728507. The next prime is 828728539. The reversal of 828728513 is 315827828.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 575664049 + 253064464 = 23993^2 + 15908^2 .

It is a cyclic number.

It is not a de Polignac number, because 828728513 - 2⁴ = 828728497 is a prime.

It is not a weakly prime, because it can be changed into another prime (828728413) 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, 414364256 + 414364257.

It is an arithmetic number, because the mean of its divisors is an integer number (414364257).

Almost surely, 2^828728513 is an apocalyptic number.

It is an amenable number.

828728513 is a deficient number, since it is larger than the sum of its proper divisors (1).

828728513 is an equidigital number, since it uses as much as digits as its factorization.

828728513 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 215040, while the sum is 44.

The square root of 828728513 is about 28787.6451450965. The cubic root of 828728513 is about 939.2995056554.

The spelling of 828728513 in words is "eight hundred twenty-eight million, seven hundred twenty-eight thousand, five hundred thirteen".