8428249728 has 96 divisors (see below), whose sum is σ = 24476037300. Its totient is φ = 2783600640.

The previous prime is 8428249693. The next prime is 8428249733. The reversal of 8428249728 is 8279428248.

It can be written as a sum of positive squares in 2 ways, for example, as 8348111424 + 80138304 = 91368^2 + 8952^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 92008 + ... + 159128.

Almost surely, 2^8428249728 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 8428249728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12238018650).

8428249728 is an abundant number, since it is smaller than the sum of its proper divisors (16047787572).

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

8428249728 is a wasteful number, since it uses less digits than its factorization.

8428249728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67250 (or 67235 counting only the distinct ones).

The product of its digits is 4128768, while the sum is 54.

The square root of 8428249728 is about 91805.4994431162. The cubic root of 8428249728 is about 2035.0689670296.

The spelling of 8428249728 in words is "eight billion, four hundred twenty-eight million, two hundred forty-nine thousand, seven hundred twenty-eight".