428605632001 has 16 divisors (see below), whose sum is σ = 437607878400. Its totient is φ = 419638302720.

The previous prime is 428605631981. The next prime is 428605632041. The reversal of 428605632001 is 100236506824.

It is a cyclic number.

It is not a de Polignac number, because 428605632001 - 2⁵ = 428605631969 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (428605632041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55666450 + ... + 55674148.

It is an arithmetic number, because the mean of its divisors is an integer number (27350492400).

Almost surely, 2^428605632001 is an apocalyptic number.

It is an amenable number.

428605632001 is a deficient number, since it is larger than the sum of its proper divisors (9002246399).

428605632001 is a wasteful number, since it uses less digits than its factorization.

428605632001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9816.

The product of its (nonzero) digits is 69120, while the sum is 37.

The spelling of 428605632001 in words is "four hundred twenty-eight billion, six hundred five million, six hundred thirty-two thousand, one".