1528832 has 22 divisors (see below), whose sum is σ = 3058218. Its totient is φ = 763904.

The previous prime is 1528831. The next prime is 1528853. The reversal of 1528832 is 2388251.

It can be written as a sum of positive squares in only one way, i.e., 1478656 + 50176 = 1216^2 + 224^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1528795 and 1528804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1528831) by changing a digit.

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 as a sum of consecutive naturals, namely, 278 + ... + 1770.

2^1528832 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1528832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1529109).

1528832 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

1528832 is an equidigital number, since it uses as much as digits as its factorization.

1528832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1513 (or 1495 counting only the distinct ones).

The product of its digits is 3840, while the sum is 29.

The square root of 1528832 is about 1236.4594615271. The cubic root of 1528832 is about 115.2002057609.

The spelling of 1528832 in words is "one million, five hundred twenty-eight thousand, eight hundred thirty-two".