42628872 has 64 divisors (see below), whose sum is σ = 125213760. Its totient is φ = 11923200.

The previous prime is 42628871. The next prime is 42628909. The reversal of 42628872 is 27882624.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 42628872.

It is not an unprimeable number, because it can be changed into a prime (42628871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2779 + ... + 9642.

It is an arithmetic number, because the mean of its divisors is an integer number (1956465).

Almost surely, 2^42628872 is an apocalyptic number.

It is an amenable number.

42628872 is an abundant number, since it is smaller than the sum of its proper divisors (82584888).

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

42628872 is a wasteful number, since it uses less digits than its factorization.

42628872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12454 (or 12450 counting only the distinct ones).

The product of its digits is 86016, while the sum is 39.

The square root of 42628872 is about 6529.0789549522. The cubic root of 42628872 is about 349.3289782816.

The spelling of 42628872 in words is "forty-two million, six hundred twenty-eight thousand, eight hundred seventy-two".