975281328 has 360 divisors, whose sum is σ = 3423114240. Its totient is φ = 253566720.

The previous prime is 975281327. The next prime is 975281393. The reversal of 975281328 is 823182579.

It is a happy number.

975281328 is a `hidden beast` number, since 97 + 528 + 1 + 32 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (975281327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 16530163 + ... + 16530221.

Almost surely, 2^975281328 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 975281328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1711557120).

975281328 is an abundant number, since it is smaller than the sum of its proper divisors (2447832912).

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

975281328 is a wasteful number, since it uses less digits than its factorization.

975281328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 125 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The square root of 975281328 is about 31229.4945204049. The cubic root of 975281328 is about 991.6916044039.

The spelling of 975281328 in words is "nine hundred seventy-five million, two hundred eighty-one thousand, three hundred twenty-eight".