42346128 has 120 divisors (see below), whose sum is σ = 125866944. Its totient is φ = 12235520.

The previous prime is 42346127. The next prime is 42346163. The reversal of 42346128 is 82164324.

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 = 42346095 and 42346104.

It is not an unprimeable number, because it can be changed into a prime (42346121) 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, 133426 + ... + 133742.

Almost surely, 2^42346128 is an apocalyptic number.

42346128 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 42346128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62933472).

42346128 is an abundant number, since it is smaller than the sum of its proper divisors (83520816).

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

42346128 is a wasteful number, since it uses less digits than its factorization.

42346128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373 (or 356 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

The square root of 42346128 is about 6507.3902603117. The cubic root of 42346128 is about 348.5549344008.

The spelling of 42346128 in words is "forty-two million, three hundred forty-six thousand, one hundred twenty-eight".