42406628 has 36 divisors (see below), whose sum is σ = 83600076. Its totient is φ = 18796800.

The previous prime is 42406627. The next prime is 42406657. The reversal of 42406628 is 82660424.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1982464 + 40424164 = 1408^2 + 6358^2 .

It is a junction number, because it is equal to n+sod(n) for n = 42406594 and 42406603.

It is not an unprimeable number, because it can be changed into a prime (42406621) 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 11 ways as a sum of consecutive naturals, for example, 18776 + ... + 20912.

Almost surely, 2^42406628 is an apocalyptic number.

It is an amenable number.

42406628 is a deficient number, since it is larger than the sum of its proper divisors (41193448).

42406628 is a wasteful number, since it uses less digits than its factorization.

42406628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2204 (or 2191 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

The square root of 42406628 is about 6512.0371620561. The cubic root of 42406628 is about 348.7208491284.

It can be divided in two parts, 42406 and 628, that added together give a palindrome (43034).

The spelling of 42406628 in words is "forty-two million, four hundred six thousand, six hundred twenty-eight".