953142128 has 80 divisors (see below), whose sum is σ = 2015228160. Its totient is φ = 434961408.

The previous prime is 953142097. The next prime is 953142131. The reversal of 953142128 is 821241359.

It is a Cunningham number, because it is equal to 30873²-1.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2654813 + ... + 2655171.

It is an arithmetic number, because the mean of its divisors is an integer number (25190352).

Almost surely, 2^953142128 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 953142128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1007614080).

953142128 is an abundant number, since it is smaller than the sum of its proper divisors (1062086032).

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

953142128 is a wasteful number, since it uses less digits than its factorization.

953142128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 654 (or 648 counting only the distinct ones).

The product of its digits is 17280, while the sum is 35.

The square root of 953142128 is about 30872.9999838046. Note that the first 4 decimals coincide. The cubic root of 953142128 is about 984.1301907631.

The spelling of 953142128 in words is "nine hundred fifty-three million, one hundred forty-two thousand, one hundred twenty-eight".