428800638501 has 6 divisors (see below), whose sum is σ = 619378700070. Its totient is φ = 285867092328.

The previous prime is 428800638479. The next prime is 428800638533. The reversal of 428800638501 is 105836008824.

428800638501 is a `hidden beast` number, since 4 + 2 + 8 + 8 + 0 + 0 + 638 + 5 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 256085590401 + 172715048100 = 506049^2 + 415590^2 .

It is not a de Polignac number, because 428800638501 - 2⁷ = 428800638373 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428800638551) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 23822257686 + ... + 23822257703.

It is an arithmetic number, because the mean of its divisors is an integer number (103229783345).

Almost surely, 2^428800638501 is an apocalyptic number.

It is an amenable number.

428800638501 is a deficient number, since it is larger than the sum of its proper divisors (190578061569).

428800638501 is a wasteful number, since it uses less digits than its factorization.

428800638501 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47644515395 (or 47644515392 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 428800638501 in words is "four hundred twenty-eight billion, eight hundred million, six hundred thirty-eight thousand, five hundred one".