1333728 has 72 divisors (see below), whose sum is σ = 4147416. Its totient is φ = 403200.

The previous prime is 1333723. The next prime is 1333733. The reversal of 1333728 is 8273331.

It is an interprime number because it is at equal distance from previous prime (1333723) and next prime (1333733).

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1333721) 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, 2958 + ... + 3378.

It is an arithmetic number, because the mean of its divisors is an integer number (57603).

2^1333728 is an apocalyptic number.

1333728 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 1333728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2073708).

1333728 is an abundant number, since it is smaller than the sum of its proper divisors (2813688).

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

1333728 is a wasteful number, since it uses less digits than its factorization.

1333728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448 (or 437 counting only the distinct ones).

The product of its digits is 3024, while the sum is 27.

The square root of 1333728 is about 1154.8714214145. The cubic root of 1333728 is about 110.0751002304.

The spelling of 1333728 in words is "one million, three hundred thirty-three thousand, seven hundred twenty-eight".