966028032 has 216 divisors, whose sum is σ = 2952999504. Its totient is φ = 314855424.

The previous prime is 966027973. The next prime is 966028061. The reversal of 966028032 is 230820669.

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3296878 + ... + 3297170.

It is an arithmetic number, because the mean of its divisors is an integer number (13671294).

Almost surely, 2^966028032 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 966028032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1476499752).

966028032 is an abundant number, since it is smaller than the sum of its proper divisors (1986971472).

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

966028032 is an equidigital number, since it uses as much as digits as its factorization.

966028032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 966028032 is about 31080.9914899766. The cubic root of 966028032 is about 988.5453015406.

The spelling of 966028032 in words is "nine hundred sixty-six million, twenty-eight thousand, thirty-two".