9728400457 has 2 divisors, whose sum is σ = 9728400458. Its totient is φ = 9728400456.

The previous prime is 9728400449. The next prime is 9728400503. The reversal of 9728400457 is 7540048279.

9728400457 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an a-pointer prime, because the next prime (9728400503) can be obtained adding 9728400457 to its sum of digits (46).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5949962496 + 3778437961 = 77136^2 + 61469^2 .

It is a cyclic number.

It is not a de Polignac number, because 9728400457 - 2³ = 9728400449 is a prime.

It is a weakly prime.

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, 4864200228 + 4864200229.

It is an arithmetic number, because the mean of its divisors is an integer number (4864200229).

Almost surely, 2^9728400457 is an apocalyptic number.

It is an amenable number.

9728400457 is a deficient number, since it is larger than the sum of its proper divisors (1).

9728400457 is an equidigital number, since it uses as much as digits as its factorization.

9728400457 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 564480, while the sum is 46.

The square root of 9728400457 is about 98632.6541111005. The cubic root of 9728400457 is about 2134.7506107938.

The spelling of 9728400457 in words is "nine billion, seven hundred twenty-eight million, four hundred thousand, four hundred fifty-seven".