966241728 has 168 divisors, whose sum is σ = 2915692416. Its totient is φ = 305510400.

The previous prime is 966241723. The next prime is 966241739. The reversal of 966241728 is 827142669.

It is a happy number.

966241728 is a `hidden beast` number, since 9 + 6 + 624 + 17 + 2 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (966241723) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 945858 + ... + 946878.

It is an arithmetic number, because the mean of its divisors is an integer number (17355312).

Almost surely, 2^966241728 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 966241728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1457846208).

966241728 is an abundant number, since it is smaller than the sum of its proper divisors (1949450688).

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

966241728 is a wasteful number, since it uses less digits than its factorization.

966241728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1123 (or 1110 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 966241728 is about 31084.4290280520. The cubic root of 966241728 is about 988.6181885221.

The spelling of 966241728 in words is "nine hundred sixty-six million, two hundred forty-one thousand, seven hundred twenty-eight".