1789728 has 48 divisors (see below), whose sum is σ = 4769856. Its totient is φ = 587520.

The previous prime is 1789721. The next prime is 1789751. The reversal of 1789728 is 8279871.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 1789728.

It is not an unprimeable number, because it can be changed into a prime (1789721) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9798 + ... + 9978.

It is an arithmetic number, because the mean of its divisors is an integer number (99372).

2^1789728 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 1789728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2384928).

1789728 is an abundant number, since it is smaller than the sum of its proper divisors (2980128).

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

1789728 is a wasteful number, since it uses less digits than its factorization.

1789728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 289 counting only the distinct ones).

The product of its digits is 56448, while the sum is 42.

The square root of 1789728 is about 1337.8071609914. The cubic root of 1789728 is about 121.4122043519.

The spelling of 1789728 in words is "one million, seven hundred eighty-nine thousand, seven hundred twenty-eight".