7648448 has 28 divisors (see below), whose sum is σ = 15313152. Its totient is φ = 3790080.

The previous prime is 7648447. The next prime is 7648463. The reversal of 7648448 is 8448467.

7648448 is an admirable number.

It is not an unprimeable number, because it can be changed into a prime (7648441) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7658 + ... + 8598.

Almost surely, 2^7648448 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 7648448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7656576).

7648448 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

7648448 is a wasteful number, since it uses less digits than its factorization.

7648448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1080 (or 1070 counting only the distinct ones).

The product of its digits is 172032, while the sum is 41.

The square root of 7648448 is about 2765.5827595644. The cubic root of 7648448 is about 197.0264078593.

The spelling of 7648448 in words is "seven million, six hundred forty-eight thousand, four hundred forty-eight".