1585728 has 42 divisors (see below), whose sum is σ = 4546854. Its totient is φ = 528384.

The previous prime is 1585723. The next prime is 1585747. The reversal of 1585728 is 8275851.

1585728 is a `hidden beast` number, since 1 + 585 + 72 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1557504 + 28224 = 1248^2 + 168^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1585692 and 1585701.

It is not an unprimeable number, because it can be changed into a prime (1585723) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 801 + ... + 1952.

2^1585728 is an apocalyptic number.

1585728 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1585728 is an abundant number, since it is smaller than the sum of its proper divisors (2961126).

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

1585728 is a wasteful number, since it uses less digits than its factorization.

1585728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2771 (or 2758 counting only the distinct ones).

The product of its digits is 22400, while the sum is 36.

The square root of 1585728 is about 1259.2569237451. The cubic root of 1585728 is about 116.6119071815.

It can be divided in two parts, 158 and 5728, that added together give a triangular number (5886 = T₁₀₈).

The spelling of 1585728 in words is "one million, five hundred eighty-five thousand, seven hundred twenty-eight".