1000728 has 64 divisors (see below), whose sum is σ = 2872800. Its totient is φ = 322560.

The previous prime is 1000723. The next prime is 1000763. The reversal of 1000728 is 8270001.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 1000728.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000721) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8800 + ... + 8912.

2^1000728 is an apocalyptic number.

1000728 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 1000728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1436400).

1000728 is an abundant number, since it is smaller than the sum of its proper divisors (1872072).

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

1000728 is a wasteful number, since it uses less digits than its factorization.

1000728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 1000728 is about 1000.3639337761. The cubic root of 1000728 is about 100.0242607803.

Adding to 1000728 its reverse (8270001), we get a palindrome (9270729).

It can be divided in two parts, 1000 and 728, that added together give a cube (1728 = 12³).

The spelling of 1000728 in words is "one million, seven hundred twenty-eight", and thus it is an aban number.