975760128 has 432 divisors, whose sum is σ = 3485919360. Its totient is φ = 268240896.

The previous prime is 975760127. The next prime is 975760141. The reversal of 975760128 is 821067579.

It is a tau number, because it is divible by the number of its divisors (432).

It is not an unprimeable number, because it can be changed into a prime (975760127) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14563551 + ... + 14563617.

Almost surely, 2^975760128 is an apocalyptic number.

975760128 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 975760128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1742959680).

975760128 is an abundant number, since it is smaller than the sum of its proper divisors (2510159232).

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

975760128 is a wasteful number, since it uses less digits than its factorization.

975760128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The square root of 975760128 is about 31237.1594099079. The cubic root of 975760128 is about 991.8538633151.

The spelling of 975760128 in words is "nine hundred seventy-five million, seven hundred sixty thousand, one hundred twenty-eight".