973728 has 144 divisors (see below), whose sum is σ = 3447360. Its totient is φ = 266112.

The previous prime is 973727. The next prime is 973757. The reversal of 973728 is 827379.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

Its product of digits (21168) is a multiple of the sum of its prime factors (56).

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 973692 and 973701.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 973728.

It is not an unprimeable number, because it can be changed into a prime (973727) 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 23 ways as a sum of consecutive naturals, for example, 42325 + ... + 42347.

It is an arithmetic number, because the mean of its divisors is an integer number (23940).

2⁹⁷³⁷²⁸ is an apocalyptic number.

973728 is a gapful number since it is divisible by the number (98) 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 973728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1723680).

973728 is an abundant number, since it is smaller than the sum of its proper divisors (2473632).

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

973728 is a wasteful number, since it uses less digits than its factorization.

973728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56 (or 35 counting only the distinct ones).

The product of its digits is 21168, while the sum is 36.

The square root of 973728 is about 986.7765704555. The cubic root of 973728 is about 99.1164836443.

It can be divided in two parts, 9 and 73728, that added together give a palindrome (73737).

The spelling of 973728 in words is "nine hundred seventy-three thousand, seven hundred twenty-eight".