32282028324 has 288 divisors, whose sum is σ = 103686885120. Its totient is φ = 8240569344.

The previous prime is 32282028301. The next prime is 32282028329. The reversal of 32282028324 is 42382028223.

32282028324 is a `hidden beast` number, since 32 + 282 + 0 + 28 + 324 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (32282028329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27756967 + ... + 27758129.

Almost surely, 2^32282028324 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32282028324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51843442560).

32282028324 is an abundant number, since it is smaller than the sum of its proper divisors (71404856796).

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

32282028324 is a wasteful number, since it uses less digits than its factorization.

32282028324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1459 (or 1454 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 32282028324 in words is "thirty-two billion, two hundred eighty-two million, twenty-eight thousand, three hundred twenty-four".