42628644 has 18 divisors (see below), whose sum is σ = 107755830. Its totient is φ = 14209536.

The previous prime is 42628583. The next prime is 42628657. The reversal of 42628644 is 44682624.

It is a happy number.

42628644 is a `hidden beast` number, since 4 + 2 + 6 + 2 + 8 + 644 = 666.

It can be written as a sum of positive squares in only one way, i.e., 34574400 + 8054244 = 5880^2 + 2838^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 1184129 = 42628644 / (4 + 2 + 6 + 2 + 8 + 6 + 4 + 4).

It is a junction number, because it is equal to n+sod(n) for n = 42628599 and 42628608.

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 5 ways as a sum of consecutive naturals, for example, 592029 + ... + 592100.

It is an arithmetic number, because the mean of its divisors is an integer number (5986435).

Almost surely, 2^42628644 is an apocalyptic number.

It is an amenable number.

42628644 is an abundant number, since it is smaller than the sum of its proper divisors (65127186).

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

42628644 is a wasteful number, since it uses less digits than its factorization.

42628644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1184139 (or 1184134 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

The square root of 42628644 is about 6529.0614945794. The cubic root of 42628644 is about 349.3283554866.

The spelling of 42628644 in words is "forty-two million, six hundred twenty-eight thousand, six hundred forty-four".