42628000 has 48 divisors (see below), whose sum is σ = 104746824. Its totient is φ = 17049600.

The previous prime is 42627997. The next prime is 42628021. The reversal of 42628000 is 82624.

It can be written as a sum of positive squares in 4 ways, for example, as 3640464 + 38987536 = 1908^2 + 6244^2 .

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1329 + ... + 9328.

Almost surely, 2^42628000 is an apocalyptic number.

42628000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42628000 is an abundant number, since it is smaller than the sum of its proper divisors (62118824).

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

42628000 is a wasteful number, since it uses less digits than its factorization.

42628000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10682 (or 10664 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 42628000 is about 6529.0121764322. The cubic root of 42628000 is about 349.3265963518.

The spelling of 42628000 in words is "forty-two million, six hundred twenty-eight thousand".