1353728 has 24 divisors (see below), whose sum is σ = 2710890. Its totient is φ = 675840.

The previous prime is 1353713. The next prime is 1353733. The reversal of 1353728 is 8273531.

It can be written as a sum of positive squares in only one way, i.e., 984064 + 369664 = 992^2 + 608^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1353728.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1718 + ... + 2378.

2^1353728 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 1353728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1355445).

1353728 is an abundant number, since it is smaller than the sum of its proper divisors (1357162).

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

1353728 is an frugal number, since it uses more digits than its factorization.

1353728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 683 (or 663 counting only the distinct ones).

The product of its digits is 5040, while the sum is 29.

The square root of 1353728 is about 1163.4981736127. The cubic root of 1353728 is about 110.6225853048.

The spelling of 1353728 in words is "one million, three hundred fifty-three thousand, seven hundred twenty-eight".