4882128 has 80 divisors (see below), whose sum is σ = 13856256. Its totient is φ = 1474560.

The previous prime is 4882127. The next prime is 4882133. The reversal of 4882128 is 8212884.

4882128 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4882127) 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, 25200 + ... + 25392.

Almost surely, 2^4882128 is an apocalyptic number.

4882128 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 4882128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6928128).

4882128 is an abundant number, since it is smaller than the sum of its proper divisors (8974128).

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

4882128 is a wasteful number, since it uses less digits than its factorization.

4882128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 246 counting only the distinct ones).

The product of its digits is 8192, while the sum is 33.

The square root of 4882128 is about 2209.5538011101. The cubic root of 4882128 is about 169.6431731196.

The spelling of 4882128 in words is "four million, eight hundred eighty-two thousand, one hundred twenty-eight".