973744128 has 144 divisors (see below), whose sum is σ = 3214542240. Its totient is φ = 278175744.

The previous prime is 973744127. The next prime is 973744141. The reversal of 973744128 is 821447379.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (973744127) 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, 125251 + ... + 132797.

It is an arithmetic number, because the mean of its divisors is an integer number (22323210).

Almost surely, 2^973744128 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 973744128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1607271120).

973744128 is an abundant number, since it is smaller than the sum of its proper divisors (2240798112).

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

973744128 is a wasteful number, since it uses less digits than its factorization.

973744128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7582 (or 7559 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The square root of 973744128 is about 31204.8734655342. The cubic root of 973744128 is about 991.1703086823.

It can be divided in two parts, 97 and 3744128, that added together give a square (3744225 = 1935²).

The spelling of 973744128 in words is "nine hundred seventy-three million, seven hundred forty-four thousand, one hundred twenty-eight".