42742128 has 120 divisors (see below), whose sum is σ = 130705920. Its totient is φ = 11930880.

The previous prime is 42742127. The next prime is 42742169. The reversal of 42742128 is 82124724.

It is a junction number, because it is equal to n+sod(n) for n = 42742095 and 42742104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42742127) 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, 88993 + ... + 89471.

It is an arithmetic number, because the mean of its divisors is an integer number (1089216).

Almost surely, 2^42742128 is an apocalyptic number.

42742128 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 42742128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65352960).

42742128 is an abundant number, since it is smaller than the sum of its proper divisors (87963792).

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

42742128 is a wasteful number, since it uses less digits than its factorization.

42742128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 527 (or 508 counting only the distinct ones).

The product of its digits is 7168, while the sum is 30.

The square root of 42742128 is about 6537.7464007103. The cubic root of 42742128 is about 349.6380693985.

The spelling of 42742128 in words is "forty-two million, seven hundred forty-two thousand, one hundred twenty-eight".