42342528 has 64 divisors (see below), whose sum is σ = 116133120. Its totient is φ = 13655040.

The previous prime is 42342511. The next prime is 42342539. The reversal of 42342528 is 82524324.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 42342495 and 42342504.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10126 + ... + 13682.

It is an arithmetic number, because the mean of its divisors is an integer number (1814580).

Almost surely, 2^42342528 is an apocalyptic number.

42342528 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 42342528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58066560).

42342528 is an abundant number, since it is smaller than the sum of its proper divisors (73790592).

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

42342528 is a wasteful number, since it uses less digits than its factorization.

42342528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3605 (or 3593 counting only the distinct ones).

The product of its digits is 15360, while the sum is 30.

The square root of 42342528 is about 6507.1136458494. The cubic root of 42342528 is about 348.5450568088.

The spelling of 42342528 in words is "forty-two million, three hundred forty-two thousand, five hundred twenty-eight".