38149128 has 48 divisors (see below), whose sum is σ = 104289900. Its totient is φ = 12597120.

The previous prime is 38149099. The next prime is 38149129. The reversal of 38149128 is 82194183.

It can be written as a sum of positive squares in 2 ways, for example, as 33663204 + 4485924 = 5802^2 + 2118^2 .

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

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 = 38149092 and 38149101.

It is not an unprimeable number, because it can be changed into a prime (38149129) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5418 + ... + 10278.

Almost surely, 2^38149128 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 38149128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52144950).

38149128 is an abundant number, since it is smaller than the sum of its proper divisors (66140772).

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

38149128 is a wasteful number, since it uses less digits than its factorization.

38149128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4982 (or 4975 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 38149128 is about 6176.4980369138. The cubic root of 38149128 is about 336.6367601881.

The spelling of 38149128 in words is "thirty-eight million, one hundred forty-nine thousand, one hundred twenty-eight".