420000028 has 48 divisors (see below), whose sum is σ = 918134784. Its totient is φ = 163941120.

The previous prime is 419999947. The next prime is 420000029. The reversal of 420000028 is 820000024.

It is a junction number, because it is equal to n+sod(n) for n = 419999966 and 420000020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420000029) 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 15 ways as a sum of consecutive naturals, for example, 525 + ... + 28987.

It is an arithmetic number, because the mean of its divisors is an integer number (19127808).

Almost surely, 2^420000028 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 420000028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459067392).

420000028 is an abundant number, since it is smaller than the sum of its proper divisors (498134756).

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

420000028 is a wasteful number, since it uses less digits than its factorization.

420000028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28522 (or 28520 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 420000028 is about 20493.9022150492. The cubic root of 420000028 is about 748.8872553638.

The spelling of 420000028 in words is "four hundred twenty million, twenty-eight", and thus it is an aban number.