428993560576 has 405 divisors, whose sum is σ = 1085426764569. Its totient is φ = 169015246848.

The previous prime is 428993560573. The next prime is 428993560601. The reversal of 428993560576 is 675065399824.

The square root of 428993560576 is 654976.

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., 333991526400 + 95002034176 = 577920^2 + 308224^2 .

It is a Harshad number since it is a multiple of its sum of digits (64).

It is not an unprimeable number, because it can be changed into a prime (428993560573) 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, 9976594411 + ... + 9976594453.

Almost surely, 2^428993560576 is an apocalyptic number.

428993560576 is the 654976-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 428993560576

428993560576 is an abundant number, since it is smaller than the sum of its proper divisors (656433203993).

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

428993560576 is an frugal number, since it uses more digits than its factorization.

428993560576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 97977600, while the sum is 64.

Multiplying 428993560576 by its sum of digits (64), we get a square (27455587876864 = 5239808²).

428993560576 divided by its sum of digits (64) gives a square (6703024384 = 81872²).

The spelling of 428993560576 in words is "four hundred twenty-eight billion, nine hundred ninety-three million, five hundred sixty thousand, five hundred seventy-six".