38628730413 has 96 divisors (see below), whose sum is σ = 71793697920. Its totient is φ = 20346681600.

The previous prime is 38628730373. The next prime is 38628730451. The reversal of 38628730413 is 31403782683.

38628730413 is a `hidden beast` number, since 3 + 8 + 628 + 7 + 3 + 0 + 4 + 13 = 666.

It is not a de Polignac number, because 38628730413 - 2¹⁸ = 38628468269 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38628230413) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18075081 + ... + 18077217.

It is an arithmetic number, because the mean of its divisors is an integer number (747851020).

Almost surely, 2^38628730413 is an apocalyptic number.

It is an amenable number.

38628730413 is a deficient number, since it is larger than the sum of its proper divisors (33164967507).

38628730413 is a wasteful number, since it uses less digits than its factorization.

38628730413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3224 (or 3211 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 38628730413 in words is "thirty-eight billion, six hundred twenty-eight million, seven hundred thirty thousand, four hundred thirteen".