975414528 has 144 divisors (see below), whose sum is σ = 3146942400. Its totient is φ = 295557120.

The previous prime is 975414527. The next prime is 975414529. The reversal of 975414528 is 825414579.

It is an interprime number because it is at equal distance from previous prime (975414527) and next prime (975414529).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (975414527) 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 15 ways as a sum of consecutive naturals, for example, 69618 + ... + 82446.

Almost surely, 2^975414528 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 975414528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1573471200).

975414528 is an abundant number, since it is smaller than the sum of its proper divisors (2171527872).

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

975414528 is a wasteful number, since it uses less digits than its factorization.

975414528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12865 (or 12845 counting only the distinct ones).

The product of its digits is 403200, while the sum is 45.

The square root of 975414528 is about 31231.6270469535. The cubic root of 975414528 is about 991.7367494319.

The spelling of 975414528 in words is "nine hundred seventy-five million, four hundred fourteen thousand, five hundred twenty-eight".