32870928000 has 256 divisors, whose sum is σ = 115379821440. Its totient is φ = 8249753600.

The previous prime is 32870927981. The next prime is 32870928001. The reversal of 32870928000 is 82907823.

It is a self number, because there is not a number n which added to its sum of digits gives 32870928000.

It is not an unprimeable number, because it can be changed into a prime (32870928001) 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, 795859 + ... + 836141.

Almost surely, 2^32870928000 is an apocalyptic number.

32870928000 is a gapful number since it is divisible by the number (30) 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 32870928000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57689910720).

32870928000 is an abundant number, since it is smaller than the sum of its proper divisors (82508893440).

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

32870928000 is a wasteful number, since it uses less digits than its factorization.

32870928000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40332 (or 40310 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The spelling of 32870928000 in words is "thirty-two billion, eight hundred seventy million, nine hundred twenty-eight thousand".