9728584001 has 2 divisors, whose sum is σ = 9728584002. Its totient is φ = 9728584000.

The previous prime is 9728583989. The next prime is 9728584009. The reversal of 9728584001 is 1004858279.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9726693376 + 1890625 = 98624^2 + 1375^2 .

It is an emirp because it is prime and its reverse (1004858279) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-9728584001 is a prime.

It is not a weakly prime, because it can be changed into another prime (9728584009) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4864292000 + 4864292001.

It is an arithmetic number, because the mean of its divisors is an integer number (4864292001).

Almost surely, 2^9728584001 is an apocalyptic number.

It is an amenable number.

9728584001 is a deficient number, since it is larger than the sum of its proper divisors (1).

9728584001 is an equidigital number, since it uses as much as digits as its factorization.

9728584001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 161280, while the sum is 44.

The square root of 9728584001 is about 98633.5845490774. The cubic root of 9728584001 is about 2134.7640360293.

The spelling of 9728584001 in words is "nine billion, seven hundred twenty-eight million, five hundred eighty-four thousand, one".