1973728 has 24 divisors (see below), whose sum is σ = 3993192. Its totient is φ = 959616.

The previous prime is 1973723. The next prime is 1973731. The reversal of 1973728 is 8273791.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1973723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 351 + ... + 2017.

It is an arithmetic number, because the mean of its divisors is an integer number (166383).

2^1973728 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 1973728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1996596).

1973728 is an abundant number, since it is smaller than the sum of its proper divisors (2019464).

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

1973728 is a wasteful number, since it uses less digits than its factorization.

1973728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1714 (or 1706 counting only the distinct ones).

The product of its digits is 21168, while the sum is 37.

The square root of 1973728 is about 1404.8943020740. The cubic root of 1973728 is about 125.4379941631.

It can be divided in two parts, 1973 and 728, that added together give a triangular number (2701 = T₇₃).

The spelling of 1973728 in words is "one million, nine hundred seventy-three thousand, seven hundred twenty-eight".