42280128 has 84 divisors (see below), whose sum is σ = 132225288. Its totient is φ = 12810240.

The previous prime is 42280123. The next prime is 42280153. The reversal of 42280128 is 82108224.

It is not an unprimeable number, because it can be changed into a prime (42280123) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3000 + ... + 9672.

Almost surely, 2^42280128 is an apocalyptic number.

42280128 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 42280128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66112644).

42280128 is an abundant number, since it is smaller than the sum of its proper divisors (89945160).

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

42280128 is a wasteful number, since it uses less digits than its factorization.

42280128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6702 (or 6689 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 42280128 is about 6502.3171254561. The cubic root of 42280128 is about 348.3737561864.

The spelling of 42280128 in words is "forty-two million, two hundred eighty thousand, one hundred twenty-eight".