6488828424 has 96 divisors (see below), whose sum is σ = 19099680600. Its totient is φ = 1978214400.

The previous prime is 6488828393. The next prime is 6488828459. The reversal of 6488828424 is 4248288846.

6488828424 is a `hidden beast` number, since 6 + 488 + 82 + 84 + 2 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6081192324 + 407636100 = 77982^2 + 20190^2 .

It is a super-2 number, since 2×6488828424² = 84209788632220647552, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 70224 + ... + 133824.

Almost surely, 2^6488828424 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 6488828424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9549840300).

6488828424 is an abundant number, since it is smaller than the sum of its proper divisors (12610852176).

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

6488828424 is a wasteful number, since it uses less digits than its factorization.

6488828424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63735 (or 63728 counting only the distinct ones).

The product of its digits is 6291456, while the sum is 54.

The square root of 6488828424 is about 80553.2645148538. The cubic root of 6488828424 is about 1865.1857849790.

The spelling of 6488828424 in words is "six billion, four hundred eighty-eight million, eight hundred twenty-eight thousand, four hundred twenty-four".