1033728 has 40 divisors (see below), whose sum is σ = 2758008. Its totient is φ = 344064.

The previous prime is 1033693. The next prime is 1033741. The reversal of 1033728 is 8273301.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nialpdrome in base 16.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 1033698 and 1033707.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1200 + ... + 1872.

2^1033728 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 1033728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1379004).

1033728 is an abundant number, since it is smaller than the sum of its proper divisors (1724280).

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

1033728 is an frugal number, since it uses more digits than its factorization.

1033728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 694 (or 678 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 1033728 is about 1016.7241513803. The cubic root of 1033728 is about 101.1118585551. Note that the first 3 decimals are identical.

The spelling of 1033728 in words is "one million, thirty-three thousand, seven hundred twenty-eight".