1603728 has 120 divisors (see below), whose sum is σ = 5390528. Its totient is φ = 435456.

The previous prime is 1603711. The next prime is 1603747. The reversal of 1603728 is 8273061.

It is a nialpdrome in base 12.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37275 + ... + 37317.

2^1603728 is an apocalyptic number.

1603728 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 1603728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2695264).

1603728 is an abundant number, since it is smaller than the sum of its proper divisors (3786800).

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

1603728 is a wasteful number, since it uses less digits than its factorization.

1603728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 1603728 is about 1266.3838280711. The cubic root of 1603728 is about 117.0514785521.

Adding to 1603728 its reverse (8273061), we get a palindrome (9876789).

It can be divided in two parts, 1 and 603728, that added together give a square (603729 = 777²).

The spelling of 1603728 in words is "one million, six hundred three thousand, seven hundred twenty-eight".