42875328 has 56 divisors (see below), whose sum is σ = 114556032. Its totient is φ = 14151424.

The previous prime is 42875323. The next prime is 42875347. The reversal of 42875328 is 82357824.

It is a super-2 number, since 2×42875328² = 3676587502215168, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42875323) 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 7 ways as a sum of consecutive naturals, for example, 19501 + ... + 21587.

Almost surely, 2^42875328 is an apocalyptic number.

42875328 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 42875328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57278016).

42875328 is an abundant number, since it is smaller than the sum of its proper divisors (71680704).

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

42875328 is a wasteful number, since it uses less digits than its factorization.

42875328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2209 (or 2199 counting only the distinct ones).

The product of its digits is 107520, while the sum is 39.

The square root of 42875328 is about 6547.9254730029. The cubic root of 42875328 is about 350.0008925147. Note that the first 3 decimals are identical.

The spelling of 42875328 in words is "forty-two million, eight hundred seventy-five thousand, three hundred twenty-eight".