428742086656 has 117 divisors (see below), whose sum is σ = 929586195621. Its totient is φ = 197629526016.

The previous prime is 428742086629. The next prime is 428742086749. The reversal of 428742086656 is 656680247824.

The square root of 428742086656 is 654784.

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., 63423385600 + 365318701056 = 251840^2 + 604416^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 428742086656.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 544779895 + ... + 544780681.

Almost surely, 2^428742086656 is an apocalyptic number.

428742086656 is the 654784-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 428742086656

428742086656 is an abundant number, since it is smaller than the sum of its proper divisors (500844108965).

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

428742086656 is an frugal number, since it uses more digits than its factorization.

428742086656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1624 (or 802 counting only the distinct ones).

The product of its (nonzero) digits is 30965760, while the sum is 58.

The spelling of 428742086656 in words is "four hundred twenty-eight billion, seven hundred forty-two million, eighty-six thousand, six hundred fifty-six".