7928448 has 64 divisors (see below), whose sum is σ = 22986720. Its totient is φ = 2401280.

The previous prime is 7928441. The next prime is 7928461. The reversal of 7928448 is 8448297.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (7928441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3286 + ... + 5162.

Almost surely, 2^7928448 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 7928448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11493360).

7928448 is an abundant number, since it is smaller than the sum of its proper divisors (15058272).

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

7928448 is a wasteful number, since it uses less digits than its factorization.

7928448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1905 (or 1893 counting only the distinct ones).

The product of its digits is 129024, while the sum is 42.

The square root of 7928448 is about 2815.7499889017. The cubic root of 7928448 is about 199.4019467776.

The spelling of 7928448 in words is "seven million, nine hundred twenty-eight thousand, four hundred forty-eight".