9728400001 has 8 divisors (see below), whose sum is σ = 10253747880. Its totient is φ = 9215711232.

The previous prime is 9728399939. The next prime is 9728400013. The reversal of 9728400001 is 1000048279.

It can be written as a sum of positive squares in 4 ways, for example, as 3254588401 + 6473811600 = 57049^2 + 80460^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 9728400001 - 2⁹ = 9728399489 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9728400041) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3163200 + ... + 3166273.

It is an arithmetic number, because the mean of its divisors is an integer number (1281718485).

Almost surely, 2^9728400001 is an apocalyptic number.

It is an amenable number.

9728400001 is a deficient number, since it is larger than the sum of its proper divisors (525347879).

9728400001 is a wasteful number, since it uses less digits than its factorization.

9728400001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6329555.

The product of its (nonzero) digits is 4032, while the sum is 31.

The square root of 9728400001 is about 98632.6517994928. The cubic root of 9728400001 is about 2134.7505774397.

The spelling of 9728400001 in words is "nine billion, seven hundred twenty-eight million, four hundred thousand, one".