428573765601792 has 240 divisors, whose sum is σ = 1283154729528672. Its totient is φ = 142807695667200.

The previous prime is 428573765601791. The next prime is 428573765601833. The reversal of 428573765601792 is 297106567375824.

428573765601792 is a `hidden beast` number, since 4 + 2 + 8 + 5 + 7 + 3 + 7 + 6 + 5 + 601 + 7 + 9 + 2 = 666.

It is a super-2 number, since 2×428573765601792² (a number of 30 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 428573765601792.

It is not an unprimeable number, because it can be changed into a prime (428573765601791) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 354105898 + ... + 355314134.

It is a 1-persistent number, because it is pandigital, but 2⋅428573765601792 = 857147531203584 is not.

Almost surely, 2^{428573765601792} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 428573765601792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (641577364764336).

428573765601792 is an abundant number, since it is smaller than the sum of its proper divisors (854580963926880).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

428573765601792 is an equidigital number, since it uses as much as digits as its factorization.

428573765601792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1211121 (or 1211093 counting only the distinct ones).

The product of its (nonzero) digits is 1066867200, while the sum is 72.

The spelling of 428573765601792 in words is "four hundred twenty-eight trillion, five hundred seventy-three billion, seven hundred sixty-five million, six hundred one thousand, seven hundred ninety-two".