38328434540928 has 192 divisors, whose sum is σ = 130718890149120. Its totient is φ = 10950981235200.

The previous prime is 38328434540909. The next prime is 38328434540941. The reversal of 38328434540928 is 82904543482383.

38328434540928 is a `hidden beast` number, since 3 + 8 + 3 + 2 + 84 + 3 + 4 + 540 + 9 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×38328434540928² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 87801348 + ... + 88236803.

It is an arithmetic number, because the mean of its divisors is an integer number (680827552860).

Almost surely, 2^{38328434540928} is an apocalyptic number.

It is an amenable number.

38328434540928 is an abundant number, since it is smaller than the sum of its proper divisors (92390455608192).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

38328434540928 is an equidigital number, since it uses as much as digits as its factorization.

38328434540928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176038187 (or 176038163 counting only the distinct ones).

The product of its (nonzero) digits is 159252480, while the sum is 63.

The spelling of 38328434540928 in words is "thirty-eight trillion, three hundred twenty-eight billion, four hundred thirty-four million, five hundred forty thousand, nine hundred twenty-eight".