945952128 has 256 divisors, whose sum is σ = 3084480000. Its totient is φ = 283023360.

The previous prime is 945952061. The next prime is 945952157. The reversal of 945952128 is 821259549.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5664301 + ... + 5664467.

It is an arithmetic number, because the mean of its divisors is an integer number (12048750).

Almost surely, 2^945952128 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 945952128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1542240000).

945952128 is an abundant number, since it is smaller than the sum of its proper divisors (2138527872).

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

945952128 is a wasteful number, since it uses less digits than its factorization.

945952128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 332 counting only the distinct ones).

The product of its digits is 259200, while the sum is 45.

The square root of 945952128 is about 30756.3347621266. The cubic root of 945952128 is about 981.6493563815.

It can be divided in two parts, 9459521 and 28, that added together give a palindrome (9459549).

The spelling of 945952128 in words is "nine hundred forty-five million, nine hundred fifty-two thousand, one hundred twenty-eight".