419628 has 54 divisors (see below), whose sum is σ = 1143268. Its totient is φ = 119680.

The previous prime is 419623. The next prime is 419651. The reversal of 419628 is 826914.

It is a junction number, because it is equal to n+sod(n) for n = 419595 and 419604.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 419628.

It is not an unprimeable number, because it can be changed into a prime (419623) by changing a digit.

419628 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 24676 + ... + 24692.

2⁴¹⁹⁶²⁸ 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 419628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (571634).

419628 is an abundant number, since it is smaller than the sum of its proper divisors (723640).

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

419628 is a wasteful number, since it uses less digits than its factorization.

419628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 33 counting only the distinct ones).

The product of its digits is 3456, while the sum is 30.

The square root of 419628 is about 647.7870020308. The cubic root of 419628 is about 74.8666073371.

It can be divided in two parts, 4196 and 28, that added together give a palindrome (4224).

The spelling of 419628 in words is "four hundred nineteen thousand, six hundred twenty-eight".