7628448 has 48 divisors (see below), whose sum is σ = 20170080. Its totient is φ = 2524416.

The previous prime is 7628441. The next prime is 7628471. The reversal of 7628448 is 8448267.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (7628441) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21811 + ... + 22157.

It is an arithmetic number, because the mean of its divisors is an integer number (420210).

Almost surely, 2^7628448 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 7628448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10085040).

7628448 is an abundant number, since it is smaller than the sum of its proper divisors (12541632).

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

7628448 is a wasteful number, since it uses less digits than its factorization.

7628448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 589 (or 581 counting only the distinct ones).

The product of its digits is 86016, while the sum is 39.

The square root of 7628448 is about 2761.9645182370. The cubic root of 7628448 is about 196.8545225363.

The spelling of 7628448 in words is "seven million, six hundred twenty-eight thousand, four hundred forty-eight".