42562128 has 160 divisors (see below), whose sum is σ = 135705600. Its totient is φ = 11225088.

The previous prime is 42562087. The next prime is 42562129. The reversal of 42562128 is 82126524.

It is a junction number, because it is equal to n+sod(n) for n = 42562095 and 42562104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42562129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 376600 + ... + 376712.

It is an arithmetic number, because the mean of its divisors is an integer number (848160).

Almost surely, 2^42562128 is an apocalyptic number.

42562128 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 42562128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67852800).

42562128 is an abundant number, since it is smaller than the sum of its proper divisors (93143472).

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

42562128 is a wasteful number, since it uses less digits than its factorization.

42562128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 203 counting only the distinct ones).

The product of its digits is 7680, while the sum is 30.

The square root of 42562128 is about 6523.9656651457. The cubic root of 42562128 is about 349.1465683230.

The spelling of 42562128 in words is "forty-two million, five hundred sixty-two thousand, one hundred twenty-eight".