428986593 has 48 divisors (see below), whose sum is σ = 744696576. Its totient is φ = 232657920.

The previous prime is 428986577. The next prime is 428986637. The reversal of 428986593 is 395689824.

428986593 is a `hidden beast` number, since 42 + 8 + 9 + 8 + 6 + 593 = 666.

It is not a de Polignac number, because 428986593 - 2⁴ = 428986577 is a prime.

It is not an unprimeable number, because it can be changed into a prime (428986513) 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, 197433 + ... + 199593.

It is an arithmetic number, because the mean of its divisors is an integer number (15514512).

Almost surely, 2^428986593 is an apocalyptic number.

It is an amenable number.

428986593 is a deficient number, since it is larger than the sum of its proper divisors (315709983).

428986593 is a wasteful number, since it uses less digits than its factorization.

428986593 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2334 (or 2331 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 54.

The square root of 428986593 is about 20711.9915266495. The cubic root of 428986593 is about 754.1908164599.

The spelling of 428986593 in words is "four hundred twenty-eight million, nine hundred eighty-six thousand, five hundred ninety-three".