4528128 has 96 divisors (see below), whose sum is σ = 13366080. Its totient is φ = 1351680.

The previous prime is 4528109. The next prime is 4528141. The reversal of 4528128 is 8218254.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 4528095 and 4528104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 67551 + ... + 67617.

It is an arithmetic number, because the mean of its divisors is an integer number (139230).

Almost surely, 2^4528128 is an apocalyptic number.

4528128 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 4528128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6683040).

4528128 is an abundant number, since it is smaller than the sum of its proper divisors (8837952).

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

4528128 is a wasteful number, since it uses less digits than its factorization.

4528128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 83 counting only the distinct ones).

The product of its digits is 5120, while the sum is 30.

The square root of 4528128 is about 2127.9398487739. The cubic root of 4528128 is about 165.4396356495.

It can be divided in two parts, 4528 and 128, that added together give a triangular number (4656 = T₉₆).

The spelling of 4528128 in words is "four million, five hundred twenty-eight thousand, one hundred twenty-eight".