9670828032 has 224 divisors, whose sum is σ = 29914047360. Its totient is φ = 3081830400.

The previous prime is 9670827977. The next prime is 9670828033. The reversal of 9670828032 is 2308280769.

It is a zygodrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (9670828033) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5086282 + ... + 5088182.

Almost surely, 2^9670828032 is an apocalyptic number.

9670828032 is a gapful number since it is divisible by the number (92) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9670828032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14957023680).

9670828032 is an abundant number, since it is smaller than the sum of its proper divisors (20243219328).

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

9670828032 is a wasteful number, since it uses less digits than its factorization.

9670828032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1959 (or 1929 counting only the distinct ones).

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

The square root of 9670828032 is about 98340.3682726478. The cubic root of 9670828032 is about 2130.5311430822.

The spelling of 9670828032 in words is "nine billion, six hundred seventy million, eight hundred twenty-eight thousand, thirty-two".