428213205 has 48 divisors (see below), whose sum is σ = 865612800. Its totient is φ = 195747552.

The previous prime is 428213197. The next prime is 428213207. The reversal of 428213205 is 502312824.

428213205 is a `hidden beast` number, since 428 + 213 + 20 + 5 = 666.

It is not a de Polignac number, because 428213205 - 2³ = 428213197 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428213207) 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 47 ways as a sum of consecutive naturals, for example, 1564 + ... + 29306.

It is an arithmetic number, because the mean of its divisors is an integer number (18033600).

Almost surely, 2^428213205 is an apocalyptic number.

428213205 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

428213205 is an abundant number, since it is smaller than the sum of its proper divisors (437399595).

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

428213205 is a wasteful number, since it uses less digits than its factorization.

428213205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27775 (or 27758 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 428213205 is about 20693.3130503552. The cubic root of 428213205 is about 753.7373189949.

The spelling of 428213205 in words is "four hundred twenty-eight million, two hundred thirteen thousand, two hundred five".