974348928 has 288 divisors, whose sum is σ = 3349038420. Its totient is φ = 270950400.

The previous prime is 974348927. The next prime is 974348933. The reversal of 974348928 is 829843479.

It can be written as a sum of positive squares in 2 ways, for example, as 626601024 + 347747904 = 25032^2 + 18648^2 .

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

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

It is not an unprimeable number, because it can be changed into a prime (974348923) 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 35 ways as a sum of consecutive naturals, for example, 2314158 + ... + 2314578.

Almost surely, 2^974348928 is an apocalyptic number.

974348928 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 974348928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1674519210).

974348928 is an abundant number, since it is smaller than the sum of its proper divisors (2374689492).

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

974348928 is a wasteful number, since it uses less digits than its factorization.

974348928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 474 counting only the distinct ones).

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

The square root of 974348928 is about 31214.5627552269. The cubic root of 974348928 is about 991.3754740567.

The spelling of 974348928 in words is "nine hundred seventy-four million, three hundred forty-eight thousand, nine hundred twenty-eight".