38842128 has 60 divisors (see below), whose sum is σ = 117071500. Its totient is φ = 11950848.

The previous prime is 38842121. The next prime is 38842157. The reversal of 38842128 is 82124883.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 2985984 + 35856144 = 1728^2 + 5988^2 .

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 = 38842092 and 38842101.

It is not an unprimeable number, because it can be changed into a prime (38842121) 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, 8503 + ... + 12246.

Almost surely, 2^38842128 is an apocalyptic number.

It is an amenable number.

38842128 is an abundant number, since it is smaller than the sum of its proper divisors (78229372).

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

38842128 is a wasteful number, since it uses less digits than its factorization.

38842128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20776 (or 20767 counting only the distinct ones).

The product of its digits is 24576, while the sum is 36.

The square root of 38842128 is about 6232.3453049394. The cubic root of 38842128 is about 338.6629380070.

The spelling of 38842128 in words is "thirty-eight million, eight hundred forty-two thousand, one hundred twenty-eight".