42038028 has 72 divisors (see below), whose sum is σ = 112162960. Its totient is φ = 13763520.

The previous prime is 42038021. The next prime is 42038041. The reversal of 42038028 is 82083024.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 42037992 and 42038010.

It is not an unprimeable number, because it can be changed into a prime (42038021) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58938 + ... + 59646.

Almost surely, 2^42038028 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 42038028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56081480).

42038028 is an abundant number, since it is smaller than the sum of its proper divisors (70124932).

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

42038028 is a wasteful number, since it uses less digits than its factorization.

42038028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 789 (or 775 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 42038028 is about 6483.6739584899. The cubic root of 42038028 is about 347.7075426364.

The spelling of 42038028 in words is "forty-two million, thirty-eight thousand, twenty-eight".