42628020 has 96 divisors (see below), whose sum is σ = 127908480. Its totient is φ = 10575360.

The previous prime is 42627997. The next prime is 42628021. The reversal of 42628020 is 2082624.

42628020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42628021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 69234 + ... + 69846.

It is an arithmetic number, because the mean of its divisors is an integer number (1332380).

Almost surely, 2^42628020 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 42628020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63954240).

42628020 is an abundant number, since it is smaller than the sum of its proper divisors (85280460).

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

42628020 is a wasteful number, since it uses less digits than its factorization.

42628020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 705 (or 703 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 42628020 is about 6529.0137080573. The cubic root of 42628020 is about 349.3266509835.

The spelling of 42628020 in words is "forty-two million, six hundred twenty-eight thousand, twenty".