973928448 has 288 divisors, whose sum is σ = 3100406400. Its totient is φ = 304570368.

The previous prime is 973928401. The next prime is 973928471. The reversal of 973928448 is 844829379.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 973928394 and 973928403.

It is a congruent number.

It is an unprimeable number.

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, 9455565 + ... + 9455667.

It is an arithmetic number, because the mean of its divisors is an integer number (10765300).

Almost surely, 2^973928448 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 973928448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1550203200).

973928448 is an abundant number, since it is smaller than the sum of its proper divisors (2126477952).

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

973928448 is a wasteful number, since it uses less digits than its factorization.

973928448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 127 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The square root of 973928448 is about 31207.8267106186. The cubic root of 973928448 is about 991.2328442704.

The spelling of 973928448 in words is "nine hundred seventy-three million, nine hundred twenty-eight thousand, four hundred forty-eight".