4948128 has 120 divisors (see below), whose sum is σ = 15367968. Its totient is φ = 1558656.

The previous prime is 4948117. The next prime is 4948201. The reversal of 4948128 is 8218494.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

Its product of digits (18432) is a multiple of the sum of its prime factors (128).

It is a junction number, because it is equal to n+sod(n) for n = 4948092 and 4948101.

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 19 ways as a sum of consecutive naturals, for example, 59575 + ... + 59657.

Almost surely, 2^4948128 is an apocalyptic number.

4948128 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 4948128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7683984).

4948128 is an abundant number, since it is smaller than the sum of its proper divisors (10419840).

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

4948128 is a wasteful number, since it uses less digits than its factorization.

4948128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 111 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 4948128 is about 2224.4388056317. The cubic root of 4948128 is about 170.4042054110.

The spelling of 4948128 in words is "four million, nine hundred forty-eight thousand, one hundred twenty-eight".