4242828648 has 64 divisors (see below), whose sum is σ = 10902427200. Its totient is φ = 1375418880.

The previous prime is 4242828617. The next prime is 4242828683. The reversal of 4242828648 is 8468282424.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 4242828597 and 4242828606.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 114015 + ... + 146577.

It is an arithmetic number, because the mean of its divisors is an integer number (170350425).

Almost surely, 2^4242828648 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 4242828648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5451213600).

4242828648 is an abundant number, since it is smaller than the sum of its proper divisors (6659598552).

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

4242828648 is a wasteful number, since it uses less digits than its factorization.

4242828648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32722 (or 32718 counting only the distinct ones).

The product of its digits is 1572864, while the sum is 48.

The square root of 4242828648 is about 65136.9990711884. Note that the first 3 decimals coincide. The cubic root of 4242828648 is about 1618.8943133406.

The spelling of 4242828648 in words is "four billion, two hundred forty-two million, eight hundred twenty-eight thousand, six hundred forty-eight".