1428338241 has 24 divisors (see below), whose sum is σ = 2287621440. Its totient is φ = 851464800.

The previous prime is 1428338209. The next prime is 1428338251.

It is a happy number.

1428338241 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1428338241 - 2⁵ = 1428338209 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1428338196 and 1428338205.

It is not an unprimeable number, because it can be changed into a prime (1428338251) 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 23 ways as a sum of consecutive naturals, for example, 112221 + ... + 124298.

It is an arithmetic number, because the mean of its divisors is an integer number (95317560).

Almost surely, 2^1428338241 is an apocalyptic number.

1428338241 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1428338241 is a deficient number, since it is larger than the sum of its proper divisors (859283199).

1428338241 is a wasteful number, since it uses less digits than its factorization.

1428338241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236597 (or 236594 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 1428338241 is about 37793.3623934151. The cubic root of 1428338241 is about 1126.1865974738.

The spelling of 1428338241 in words is "one billion, four hundred twenty-eight million, three hundred thirty-eight thousand, two hundred forty-one".