966737728 has 84 divisors (see below), whose sum is σ = 2177182336. Its totient is φ = 425145600.

The previous prime is 966737719. The next prime is 966737753. The reversal of 966737728 is 827737669.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 238051 + ... + 242077.

Almost surely, 2^966737728 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 966737728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1088591168).

966737728 is an abundant number, since it is smaller than the sum of its proper divisors (1210444608).

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

966737728 is a wasteful number, since it uses less digits than its factorization.

966737728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4092 (or 4071 counting only the distinct ones).

The product of its digits is 5334336, while the sum is 55.

The square root of 966737728 is about 31092.4062754879. The cubic root of 966737728 is about 988.7873217479.

It can be divided in two parts, 96673 and 7728, that added together give a palindrome (104401).

The spelling of 966737728 in words is "nine hundred sixty-six million, seven hundred thirty-seven thousand, seven hundred twenty-eight".