32048821920 has 192 divisors, whose sum is σ = 107794520064. Its totient is φ = 7984542720.

The previous prime is 32048821891. The next prime is 32048821921. The reversal of 32048821920 is 2912884023.

It is not an unprimeable number, because it can be changed into a prime (32048821921) 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, 440965 + ... + 508475.

It is an arithmetic number, because the mean of its divisors is an integer number (561429792).

Almost surely, 2^32048821920 is an apocalyptic number.

32048821920 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 32048821920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53897260032).

32048821920 is an abundant number, since it is smaller than the sum of its proper divisors (75745698144).

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

32048821920 is a wasteful number, since it uses less digits than its factorization.

32048821920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67595 (or 67587 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The spelling of 32048821920 in words is "thirty-two billion, forty-eight million, eight hundred twenty-one thousand, nine hundred twenty".