961272928 has 96 divisors (see below), whose sum is σ = 2483792640. Its totient is φ = 354792960.

The previous prime is 961272911. The next prime is 961272929. The reversal of 961272928 is 829272169.

961272928 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (961272929) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36550 + ... + 57082.

It is an arithmetic number, because the mean of its divisors is an integer number (25872840).

Almost surely, 2^961272928 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 961272928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1241896320).

961272928 is an abundant number, since it is smaller than the sum of its proper divisors (1522519712).

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

961272928 is a wasteful number, since it uses less digits than its factorization.

961272928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20580 (or 20572 counting only the distinct ones).

The product of its digits is 217728, while the sum is 46.

The square root of 961272928 is about 31004.4017520093. The cubic root of 961272928 is about 986.9206524939.

The spelling of 961272928 in words is "nine hundred sixty-one million, two hundred seventy-two thousand, nine hundred twenty-eight".