1028736 has 96 divisors (see below), whose sum is σ = 3182400. Its totient is φ = 317952.

The previous prime is 1028683. The next prime is 1028737. The reversal of 1028736 is 6378201.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (1028737) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21865 + ... + 21911.

It is an arithmetic number, because the mean of its divisors is an integer number (33150).

2^1028736 is an apocalyptic number.

1028736 is a gapful number since it is divisible by the number (16) 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 1028736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1591200).

1028736 is an abundant number, since it is smaller than the sum of its proper divisors (2153664).

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

1028736 is a wasteful number, since it uses less digits than its factorization.

1028736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 71 counting only the distinct ones).

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

The square root of 1028736 is about 1014.2662372375. The cubic root of 1028736 is about 100.9488353081.

It can be divided in two parts, 1028 and 736, that added together give a square (1764 = 42²).

The spelling of 1028736 in words is "one million, twenty-eight thousand, seven hundred thirty-six".