38428872427301 has 2 divisors, whose sum is σ = 38428872427302. Its totient is φ = 38428872427300.

The previous prime is 38428872427249. The next prime is 38428872427339. The reversal of 38428872427301 is 10372427882483.

38428872427301 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 38412402555076 + 16469872225 = 6197774^2 + 128335^2 .

It is a cyclic number.

It is not a de Polignac number, because 38428872427301 - 2¹⁸ = 38428872165157 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (38428872427601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 19214436213650 + 19214436213651.

It is an arithmetic number, because the mean of its divisors is an integer number (19214436213651).

Almost surely, 2^{38428872427301} is an apocalyptic number.

It is an amenable number.

38428872427301 is a deficient number, since it is larger than the sum of its proper divisors (1).

38428872427301 is an equidigital number, since it uses as much as digits as its factorization.

38428872427301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 28901376, while the sum is 59.

The spelling of 38428872427301 in words is "thirty-eight trillion, four hundred twenty-eight billion, eight hundred seventy-two million, four hundred twenty-seven thousand, three hundred one".