47728001 has 2 divisors, whose sum is σ = 47728002. Its totient is φ = 47728000.

The previous prime is 47727971. The next prime is 47728049. The reversal of 47728001 is 10082774.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 39753025 + 7974976 = 6305^2 + 2824^2 .

It is a cyclic number.

It is not a de Polignac number, because 47728001 - 2⁶ = 47727937 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (47728081) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 23864000 + 23864001.

It is an arithmetic number, because the mean of its divisors is an integer number (23864001).

Almost surely, 2^47728001 is an apocalyptic number.

It is an amenable number.

47728001 is a deficient number, since it is larger than the sum of its proper divisors (1).

47728001 is an equidigital number, since it uses as much as digits as its factorization.

47728001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3136, while the sum is 29.

The square root of 47728001 is about 6908.5455053868. The cubic root of 47728001 is about 362.7363525613.

The spelling of 47728001 in words is "forty-seven million, seven hundred twenty-eight thousand, one".