42760128 has 84 divisors (see below), whose sum is σ = 118549928. Its totient is φ = 13601280.

The previous prime is 42760121. The next prime is 42760147. The reversal of 42760128 is 82106724.

It is a junction number, because it is equal to n+sod(n) for n = 42760095 and 42760104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42760121) 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, 101358 + ... + 101778.

Almost surely, 2^42760128 is an apocalyptic number.

42760128 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 42760128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59274964).

42760128 is an abundant number, since it is smaller than the sum of its proper divisors (75789800).

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

42760128 is a wasteful number, since it uses less digits than its factorization.

42760128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 482 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 42760128 is about 6539.1228769614. The cubic root of 42760128 is about 349.6871435579.

The spelling of 42760128 in words is "forty-two million, seven hundred sixty thousand, one hundred twenty-eight".