4048128 has 108 divisors (see below), whose sum is σ = 13392288. Its totient is φ = 1152000.

The previous prime is 4048123. The next prime is 4048129. The reversal of 4048128 is 8218404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4048123) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16003 + ... + 16253.

Almost surely, 2^4048128 is an apocalyptic number.

4048128 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 4048128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6696144).

4048128 is an abundant number, since it is smaller than the sum of its proper divisors (9344160).

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

4048128 is a wasteful number, since it uses less digits than its factorization.

4048128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 4048128 is about 2011.9960238529. The cubic root of 4048128 is about 159.3742223722.

The spelling of 4048128 in words is "four million, forty-eight thousand, one hundred twenty-eight".