428120397 has 20 divisors (see below), whose sum is σ = 641880316. Its totient is φ = 284368320.

The previous prime is 428120393. The next prime is 428120437. The reversal of 428120397 is 793021824.

It can be written as a sum of positive squares in 2 ways, for example, as 72948681 + 355171716 = 8541^2 + 18846^2 .

It is not a de Polignac number, because 428120397 - 2² = 428120393 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428120393) 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 19 ways as a sum of consecutive naturals, for example, 12897 + ... + 31977.

Almost surely, 2^428120397 is an apocalyptic number.

It is an amenable number.

428120397 is a deficient number, since it is larger than the sum of its proper divisors (213759919).

428120397 is a wasteful number, since it uses less digits than its factorization.

428120397 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19370 (or 19361 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 428120397 is about 20691.0704652998. The cubic root of 428120397 is about 753.6828617708.

The spelling of 428120397 in words is "four hundred twenty-eight million, one hundred twenty thousand, three hundred ninety-seven".