4748128 has 96 divisors (see below), whose sum is σ = 12192768. Its totient is φ = 1766400.

The previous prime is 4748123. The next prime is 4748131. The reversal of 4748128 is 8218474.

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

It is a junction number, because it is equal to n+sod(n) for n = 4748093 and 4748102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4748123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 101001 + ... + 101047.

It is an arithmetic number, because the mean of its divisors is an integer number (127008).

Almost surely, 2^4748128 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 4748128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6096384).

4748128 is an abundant number, since it is smaller than the sum of its proper divisors (7444640).

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

4748128 is a wasteful number, since it uses less digits than its factorization.

4748128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 108 counting only the distinct ones).

The product of its digits is 14336, while the sum is 34.

The square root of 4748128 is about 2179.0199631945. The cubic root of 4748128 is about 168.0766845683.

It can be divided in two parts, 47 and 48128, that multiplied together give a square (2262016 = 1504²).

The spelling of 4748128 in words is "four million, seven hundred forty-eight thousand, one hundred twenty-eight".