5288448 has 80 divisors (see below), whose sum is σ = 15418656. Its totient is φ = 1597440.

The previous prime is 5288417. The next prime is 5288449. The reversal of 5288448 is 8448825.

It is not an unprimeable number, because it can be changed into a prime (5288449) 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, 16740 + ... + 17052.

Almost surely, 2^5288448 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 5288448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7709328).

5288448 is an abundant number, since it is smaller than the sum of its proper divisors (10130208).

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

5288448 is a wasteful number, since it uses less digits than its factorization.

5288448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345 (or 329 counting only the distinct ones).

The product of its digits is 81920, while the sum is 39.

The square root of 5288448 is about 2299.6625839457. The cubic root of 5288448 is about 174.2245746053.

It can be divided in two parts, 528 and 8448, that multiplied together give a square (4460544 = 2112²).

The spelling of 5288448 in words is "five million, two hundred eighty-eight thousand, four hundred forty-eight".