945872928 has 576 divisors, whose sum is σ = 3843770112. Its totient is φ = 212336640.

The previous prime is 945872923. The next prime is 945872929. The reversal of 945872928 is 829278549.

It is not an unprimeable number, because it can be changed into a prime (945872923) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4900800 + ... + 4900992.

It is an arithmetic number, because the mean of its divisors is an integer number (6673212).

Almost surely, 2^945872928 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 945872928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1921885056).

945872928 is an abundant number, since it is smaller than the sum of its proper divisors (2897897184).

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

945872928 is a wasteful number, since it uses less digits than its factorization.

945872928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 246 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 54.

The square root of 945872928 is about 30755.0471955417. The cubic root of 945872928 is about 981.6219593647.

The spelling of 945872928 in words is "nine hundred forty-five million, eight hundred seventy-two thousand, nine hundred twenty-eight".