1993728 has 88 divisors (see below), whose sum is σ = 5895360. Its totient is φ = 593920.

The previous prime is 1993711. The next prime is 1993729. The reversal of 1993728 is 8273991.

It is a tau number, because it is divible by the number of its divisors (88).

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (1993729) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33763 + ... + 33821.

2^1993728 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 1993728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2947680).

1993728 is an abundant number, since it is smaller than the sum of its proper divisors (3901632).

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

1993728 is a wasteful number, since it uses less digits than its factorization.

1993728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 75 counting only the distinct ones).

The product of its digits is 27216, while the sum is 39.

The square root of 1993728 is about 1411.9943342663. The cubic root of 1993728 is about 125.8602633277.

The spelling of 1993728 in words is "one million, nine hundred ninety-three thousand, seven hundred twenty-eight".