42365628 has 36 divisors (see below), whose sum is σ = 109706688. Its totient is φ = 13776960.

The previous prime is 42365593. The next prime is 42365633. The reversal of 42365628 is 82656324.

42365628 is a `hidden beast` number, since 4 + 23 + 6 + 5 + 628 = 666.

42365628 is nontrivially palindromic in base 15.

42365628 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 42365592 and 42365601.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 12876 + ... + 15827.

It is an arithmetic number, because the mean of its divisors is an integer number (3047408).

Almost surely, 2^42365628 is an apocalyptic number.

It is an amenable number.

42365628 is an abundant number, since it is smaller than the sum of its proper divisors (67341060).

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

42365628 is a wasteful number, since it uses less digits than its factorization.

42365628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28754 (or 28749 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 42365628 is about 6508.8883843557. Note that the first 3 decimals coincide. The cubic root of 42365628 is about 348.6084282975.

It can be divided in two parts, 4 and 2365628, that added together give a palindrome (2365632).

The spelling of 42365628 in words is "forty-two million, three hundred sixty-five thousand, six hundred twenty-eight".