32828953950 has 144 divisors (see below), whose sum is σ = 95625129600. Its totient is φ = 8026525440.

The previous prime is 32828953891. The next prime is 32828953961. The reversal of 32828953950 is 5935982823.

32828953950 is a `hidden beast` number, since 3 + 28 + 2 + 89 + 539 + 5 + 0 = 666.

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 71 ways as a sum of consecutive naturals, for example, 852819 + ... + 890481.

It is an arithmetic number, because the mean of its divisors is an integer number (664063400).

Almost surely, 2^32828953950 is an apocalyptic number.

32828953950 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 32828953950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47812564800).

32828953950 is an abundant number, since it is smaller than the sum of its proper divisors (62796175650).

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

32828953950 is a wasteful number, since it uses less digits than its factorization.

32828953950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37843 (or 37835 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 32828953950 in words is "thirty-two billion, eight hundred twenty-eight million, nine hundred fifty-three thousand, nine hundred fifty".