42630928 has 40 divisors (see below), whose sum is σ = 86601600. Its totient is φ = 20302464.

The previous prime is 42630901. The next prime is 42630949. The reversal of 42630928 is 82903624.

It is a junction number, because it is equal to n+sod(n) for n = 42630893 and 42630902.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36075 + ... + 37237.

It is an arithmetic number, because the mean of its divisors is an integer number (2165040).

Almost surely, 2^42630928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42630928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43300800).

42630928 is an abundant number, since it is smaller than the sum of its proper divisors (43970672).

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

42630928 is a wasteful number, since it uses less digits than its factorization.

42630928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1279 (or 1273 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

The square root of 42630928 is about 6529.2364025206. The cubic root of 42630928 is about 349.3345942628.

The spelling of 42630928 in words is "forty-two million, six hundred thirty thousand, nine hundred twenty-eight".