4827648 has 80 divisors (see below), whose sum is σ = 14731200. Its totient is φ = 1376256.

The previous prime is 4827637. The next prime is 4827671. The reversal of 4827648 is 8467284.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10528 + ... + 10976.

It is an arithmetic number, because the mean of its divisors is an integer number (184140).

Almost surely, 2^4827648 is an apocalyptic number.

4827648 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 4827648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7365600).

4827648 is an abundant number, since it is smaller than the sum of its proper divisors (9903552).

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

4827648 is an equidigital number, since it uses as much as digits as its factorization.

4827648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477 (or 461 counting only the distinct ones).

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

The square root of 4827648 is about 2197.1909338972. The cubic root of 4827648 is about 169.0097913401.

Subtracting from 4827648 its product of digits (86016), we obtain a cube (4741632 = 168³).

It can be divided in two parts, 48 and 27648, that multiplied together give a square (1327104 = 1152²).

The spelling of 4827648 in words is "four million, eight hundred twenty-seven thousand, six hundred forty-eight".