4287648 has 48 divisors (see below), whose sum is σ = 11460960. Its totient is φ = 1403136.

The previous prime is 4287643. The next prime is 4287667. The reversal of 4287648 is 8467824.

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 (4287643) 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, 5286 + ... + 6042.

It is an arithmetic number, because the mean of its divisors is an integer number (238770).

Almost surely, 2^4287648 is an apocalyptic number.

4287648 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4287648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5730480).

4287648 is an abundant number, since it is smaller than the sum of its proper divisors (7173312).

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

4287648 is a wasteful number, since it uses less digits than its factorization.

4287648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 829 (or 821 counting only the distinct ones).

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

The square root of 4287648 is about 2070.6636617278. The cubic root of 4287648 is about 162.4574784206.

It can be divided in two parts, 42876 and 48, that added together give a palindrome (42924).

The spelling of 4287648 in words is "four million, two hundred eighty-seven thousand, six hundred forty-eight".