966472728 has 128 divisors (see below), whose sum is σ = 2665958400. Its totient is φ = 290174976.

The previous prime is 966472721. The next prime is 966472733. The reversal of 966472728 is 827274669.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (966472721) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2785051 + ... + 2785397.

It is an arithmetic number, because the mean of its divisors is an integer number (20827800).

Almost surely, 2^966472728 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 966472728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1332979200).

966472728 is an abundant number, since it is smaller than the sum of its proper divisors (1699485672).

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

966472728 is a wasteful number, since it uses less digits than its factorization.

966472728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 561 (or 557 counting only the distinct ones).

The product of its digits is 2032128, while the sum is 51.

The square root of 966472728 is about 31088.1444927162. The cubic root of 966472728 is about 988.6969654294.

The spelling of 966472728 in words is "nine hundred sixty-six million, four hundred seventy-two thousand, seven hundred twenty-eight".