7428008448 has 280 divisors, whose sum is σ = 25439898528. Its totient is φ = 2121541632.

The previous prime is 7428008443. The next prime is 7428008449. The reversal of 7428008448 is 8448008247.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (7428008443) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 2611315 + ... + 2614157.

Almost surely, 2^7428008448 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 7428008448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12719949264).

7428008448 is an abundant number, since it is smaller than the sum of its proper divisors (18011890080).

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

7428008448 is an frugal number, since it uses more digits than its factorization.

7428008448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2886 (or 2855 counting only the distinct ones).

The product of its (nonzero) digits is 458752, while the sum is 45.

The square root of 7428008448 is about 86185.8947160149. The cubic root of 7428008448 is about 1951.1506203377.

The spelling of 7428008448 in words is "seven billion, four hundred twenty-eight million, eight thousand, four hundred forty-eight".