42838128 has 30 divisors (see below), whose sum is σ = 119887664. Its totient is φ = 14279328.

The previous prime is 42838111. The next prime is 42838129. The reversal of 42838128 is 82183824.

It is a happy number.

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 = 42838092 and 42838101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42838129) 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 5 ways as a sum of consecutive naturals, for example, 148600 + ... + 148887.

Almost surely, 2^42838128 is an apocalyptic number.

42838128 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

42838128 is an abundant number, since it is smaller than the sum of its proper divisors (77049536).

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

42838128 is a wasteful number, since it uses less digits than its factorization.

42838128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297501 (or 297492 counting only the distinct ones).

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

The square root of 42838128 is about 6545.0842622536. The cubic root of 42838128 is about 349.8996392520.

The spelling of 42838128 in words is "forty-two million, eight hundred thirty-eight thousand, one hundred twenty-eight".