1528128 has 84 divisors (see below), whose sum is σ = 5019040. Its totient is φ = 435456.

The previous prime is 1528127. The next prime is 1528139. The reversal of 1528128 is 8218251.

It is a tau number, because it is divible by the number of its divisors (84).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1528127) 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, 3843 + ... + 4221.

2^1528128 is an apocalyptic number.

1528128 is a gapful number since it is divisible by the number (18) 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 1528128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2509520).

1528128 is an abundant number, since it is smaller than the sum of its proper divisors (3490912).

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

1528128 is a wasteful number, since it uses less digits than its factorization.

1528128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 391 counting only the distinct ones).

The product of its digits is 1280, while the sum is 27.

The square root of 1528128 is about 1236.1747449289. The cubic root of 1528128 is about 115.1825204961.

The spelling of 1528128 in words is "one million, five hundred twenty-eight thousand, one hundred twenty-eight".