428286478096 has 135 divisors (see below), whose sum is σ = 895216056021. Its totient is φ = 198466879104.

The previous prime is 428286478093. The next prime is 428286478111. The reversal of 428286478096 is 690874682824.

The square root of 428286478096 is 654436.

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

It can be written as a sum of positive squares in only one way, i.e., 298513620496 + 129772857600 = 546364^2 + 360240^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (428286478093) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3929233690 + ... + 3929233798.

Almost surely, 2^428286478096 is an apocalyptic number.

428286478096 is the 654436-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 428286478096

428286478096 is an abundant number, since it is smaller than the sum of its proper divisors (466929577925).

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

428286478096 is an equidigital number, since it uses as much as digits as its factorization.

428286478096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 74317824, while the sum is 64.

Multiplying 428286478096 by its sum of digits (64), we get a square (27410334598144 = 5235488²).

The spelling of 428286478096 in words is "four hundred twenty-eight billion, two hundred eighty-six million, four hundred seventy-eight thousand, ninety-six".