32482092032 has 264 divisors, whose sum is σ = 76085958312. Its totient is φ = 13801881600.

The previous prime is 32482091969. The next prime is 32482092059. The reversal of 32482092032 is 23029028423.

It can be written as a sum of positive squares in 12 ways, for example, as 29771431936 + 2710660096 = 172544^2 + 52064^2 .

It is a junction number, because it is equal to n+sod(n) for n = 32482091983 and 32482092001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 179458982 + ... + 179459162.

Almost surely, 2^32482092032 is an apocalyptic number.

32482092032 is a gapful number since it is divisible by the number (32) 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 32482092032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38042979156).

32482092032 is an abundant number, since it is smaller than the sum of its proper divisors (43603866280).

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

32482092032 is a wasteful number, since it uses less digits than its factorization.

32482092032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 35.

The spelling of 32482092032 in words is "thirty-two billion, four hundred eighty-two million, ninety-two thousand, thirty-two".