1589728 has 48 divisors (see below), whose sum is σ = 3677184. Its totient is φ = 662400.

The previous prime is 1589719. The next prime is 1589747. The reversal of 1589728 is 8279851.

It is a super-2 number, since 2×1589728² = 5054470227968, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 in 7 ways as a sum of consecutive naturals, for example, 10453 + ... + 10603.

It is an arithmetic number, because the mean of its divisors is an integer number (76608).

2^1589728 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 1589728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1838592).

1589728 is an abundant number, since it is smaller than the sum of its proper divisors (2087456).

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

1589728 is a wasteful number, since it uses less digits than its factorization.

1589728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 207 counting only the distinct ones).

The product of its digits is 40320, while the sum is 40.

The square root of 1589728 is about 1260.8441616631. The cubic root of 1589728 is about 116.7098760582.

The spelling of 1589728 in words is "one million, five hundred eighty-nine thousand, seven hundred twenty-eight".