1428338205 has 96 divisors (see below), whose sum is σ = 3089049600. Its totient is φ = 618518592.

The previous prime is 1428338161. The next prime is 1428338207. The reversal of 1428338205 is 5028338241.

It is not a de Polignac number, because 1428338205 - 2⁷ = 1428338077 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1428338205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1428338207) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 157176 + ... + 166014.

It is an arithmetic number, because the mean of its divisors is an integer number (32177600).

Almost surely, 2^1428338205 is an apocalyptic number.

1428338205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1428338205 is an abundant number, since it is smaller than the sum of its proper divisors (1660711395).

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

1428338205 is an equidigital number, since it uses as much as digits as its factorization.

1428338205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8885 (or 8873 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 1428338205 is about 37793.3619171410. The cubic root of 1428338205 is about 1126.1865880123.

Adding to 1428338205 its sum of digits (36), we get a palindrome (1428338241).

The spelling of 1428338205 in words is "one billion, four hundred twenty-eight million, three hundred thirty-eight thousand, two hundred five".