38928475314432 has 180 divisors, whose sum is σ = 126630185778096. Its totient is φ = 11796507601920.

The previous prime is 38928475314361. The next prime is 38928475314437. The reversal of 38928475314432 is 23441357482983.

It is a happy number.

38928475314432 is a `hidden beast` number, since 3 + 8 + 9 + 28 + 4 + 7 + 531 + 44 + 32 = 666.

38928475314432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 38928475314432.

It is not an unprimeable number, because it can be changed into a prime (38928475314437) 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 in 19 ways as a sum of consecutive naturals, for example, 85105438 + ... + 85561629.

Almost surely, 2^{38928475314432} is an apocalyptic number.

38928475314432 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

38928475314432 is an abundant number, since it is smaller than the sum of its proper divisors (87701710463664).

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

38928475314432 is a wasteful number, since it uses less digits than its factorization.

38928475314432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170667106 (or 170667083 counting only the distinct ones).

The product of its digits is 139345920, while the sum is 63.

The spelling of 38928475314432 in words is "thirty-eight trillion, nine hundred twenty-eight billion, four hundred seventy-five million, three hundred fourteen thousand, four hundred thirty-two".