419624028 has 36 divisors (see below), whose sum is σ = 1065409800. Its totient is φ = 139255776.

The previous prime is 419624021. The next prime is 419624041. The reversal of 419624028 is 820426914.

419624028 is a `hidden beast` number, since 4 + 1 + 9 + 624 + 0 + 28 = 666.

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 = 419623983 and 419624001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (419624021) by changing a digit.

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, 17503 + ... + 33846.

Almost surely, 2^419624028 is an apocalyptic number.

It is an amenable number.

419624028 is an abundant number, since it is smaller than the sum of its proper divisors (645785772).

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

419624028 is a wasteful number, since it uses less digits than its factorization.

419624028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51586 (or 51581 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 419624028 is about 20484.7267006421. The cubic root of 419624028 is about 748.6637111903.

It can be divided in two parts, 4196 and 24028, that added together give a square (28224 = 168²).

The spelling of 419624028 in words is "four hundred nineteen million, six hundred twenty-four thousand, twenty-eight".