42364128 has 48 divisors (see below), whose sum is σ = 115048080. Its totient is φ = 13633536.

The previous prime is 42364121. The next prime is 42364139. The reversal of 42364128 is 82146324.

It is a tau number, because it is divible by the number of its divisors (48).

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 = 42364095 and 42364104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42364121) 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, 4825 + ... + 10392.

It is an arithmetic number, because the mean of its divisors is an integer number (2396835).

Almost surely, 2^42364128 is an apocalyptic number.

42364128 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

42364128 is an abundant number, since it is smaller than the sum of its proper divisors (72683952).

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

42364128 is a wasteful number, since it uses less digits than its factorization.

42364128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15259 (or 15251 counting only the distinct ones).

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

The square root of 42364128 is about 6508.7731562868. The cubic root of 42364128 is about 348.6043139652.

The spelling of 42364128 in words is "forty-two million, three hundred sixty-four thousand, one hundred twenty-eight".