38105928 has 96 divisors (see below), whose sum is σ = 120432000. Its totient is φ = 10880352.

The previous prime is 38105923. The next prime is 38105939. The reversal of 38105928 is 82950183.

It is a Cunningham number, because it is equal to 6173²-1.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 38105892 and 38105901.

It is not an unprimeable number, because it can be changed into a prime (38105923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23925 + ... + 25467.

It is an arithmetic number, because the mean of its divisors is an integer number (1254500).

Almost surely, 2^38105928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38105928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60216000).

38105928 is an abundant number, since it is smaller than the sum of its proper divisors (82326072).

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

38105928 is a wasteful number, since it uses less digits than its factorization.

38105928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1576 (or 1555 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 38105928 is about 6172.9999190021. Note that the first 4 decimals coincide. The cubic root of 38105928 is about 336.5096432513.

The spelling of 38105928 in words is "thirty-eight million, one hundred five thousand, nine hundred twenty-eight".