428198407 has 48 divisors (see below), whose sum is σ = 555663360. Its totient is φ = 326918592.

The previous prime is 428198389. The next prime is 428198413. The reversal of 428198407 is 704891824.

It is a de Polignac number, because none of the positive numbers 2^k-428198407 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428198207) 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, 3371578 + ... + 3371704.

It is an arithmetic number, because the mean of its divisors is an integer number (11576320).

Almost surely, 2^428198407 is an apocalyptic number.

428198407 is a deficient number, since it is larger than the sum of its proper divisors (127464953).

428198407 is a wasteful number, since it uses less digits than its factorization.

428198407 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 43.

The square root of 428198407 is about 20692.9554921476. The cubic root of 428198407 is about 753.7286364561.

The spelling of 428198407 in words is "four hundred twenty-eight million, one hundred ninety-eight thousand, four hundred seven".