966464928 has 288 divisors, whose sum is σ = 3337431552. Its totient is φ = 261273600.

The previous prime is 966464927. The next prime is 966464951. The reversal of 966464928 is 829464669.

966464928 is a `hidden beast` number, since 96 + 6 + 464 + 92 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (966464923) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1276326 + ... + 1277082.

It is an arithmetic number, because the mean of its divisors is an integer number (11588304).

Almost surely, 2^966464928 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 966464928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1668715776).

966464928 is an abundant number, since it is smaller than the sum of its proper divisors (2370966624).

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

966464928 is a wasteful number, since it uses less digits than its factorization.

966464928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 828 (or 817 counting only the distinct ones).

The product of its digits is 4478976, while the sum is 54.

The square root of 966464928 is about 31088.0190427116. The cubic root of 966464928 is about 988.6943056347.

The spelling of 966464928 in words is "nine hundred sixty-six million, four hundred sixty-four thousand, nine hundred twenty-eight".