42028608 has 112 divisors (see below), whose sum is σ = 120335040. Its totient is φ = 12902400.

The previous prime is 42028603. The next prime is 42028619. The reversal of 42028608 is 80682024.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (42028603) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 149428 + ... + 149708.

It is an arithmetic number, because the mean of its divisors is an integer number (1074420).

Almost surely, 2^42028608 is an apocalyptic number.

42028608 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42028608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60167520).

42028608 is an abundant number, since it is smaller than the sum of its proper divisors (78306432).

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

42028608 is a wasteful number, since it uses less digits than its factorization.

42028608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 42028608 is about 6482.9474778067. The cubic root of 42028608 is about 347.6815689336.

The spelling of 42028608 in words is "forty-two million, twenty-eight thousand, six hundred eight".