428359778064 has 45 divisors (see below), whose sum is σ = 1198834414869. Its totient is φ = 142783974720.

The previous prime is 428359778053. The next prime is 428359778069. The reversal of 428359778064 is 460877953824.

The square root of 428359778064 is 654492.

It is a perfect power (a square), and thus also a powerful number.

428359778064 is a `hidden beast` number, since 428 + 3 + 5 + 9 + 77 + 80 + 64 = 666.

It can be written as a sum of positive squares in only one way, i.e., 13108418064 + 415251360000 = 114492^2 + 644400^2 .

It is a junction number, because it is equal to n+sod(n) for n = 428359777992 and 428359778010.

It is not an unprimeable number, because it can be changed into a prime (428359778069) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 7826634 + ... + 7881174.

Almost surely, 2^428359778064 is an apocalyptic number.

428359778064 is the 654492-nd square number.

It is an amenable number.

428359778064 is an abundant number, since it is smaller than the sum of its proper divisors (770474636805).

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

428359778064 is an frugal number, since it uses more digits than its factorization.

428359778064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109096 (or 54546 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 63.

The spelling of 428359778064 in words is "four hundred twenty-eight billion, three hundred fifty-nine million, seven hundred seventy-eight thousand, sixty-four".