38116128 has 48 divisors (see below), whose sum is σ = 105325920. Its totient is φ = 12036096.

The previous prime is 38116123. The next prime is 38116139. The reversal of 38116128 is 82161183.

It is a tau number, because it is divible by the number of its divisors (48).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 38116095 and 38116104.

It is not an unprimeable number, because it can be changed into a prime (38116123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8625 + ... + 12272.

It is an arithmetic number, because the mean of its divisors is an integer number (2194290).

Almost surely, 2^38116128 is an apocalyptic number.

38116128 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

38116128 is an abundant number, since it is smaller than the sum of its proper divisors (67209792).

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

38116128 is a wasteful number, since it uses less digits than its factorization.

38116128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20929 (or 20921 counting only the distinct ones).

The product of its digits is 2304, while the sum is 30.

The square root of 38116128 is about 6173.8260422529. The cubic root of 38116128 is about 336.5396656330.

The spelling of 38116128 in words is "thirty-eight million, one hundred sixteen thousand, one hundred twenty-eight".