32428998282240 has 1056 divisors, whose sum is σ = 130257873083520. Its totient is φ = 7306758586368.

The previous prime is 32428998282229. The next prime is 32428998282253. The reversal of 32428998282240 is 4228289982423.

32428998282240 is a `hidden beast` number, since 3 + 2 + 4 + 28 + 9 + 98 + 282 + 240 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8416556154 + ... + 8416560006.

Almost surely, 2^{32428998282240} is an apocalyptic number.

32428998282240 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 32428998282240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65128936541760).

32428998282240 is an abundant number, since it is smaller than the sum of its proper divisors (97828874801280).

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

32428998282240 is a wasteful number, since it uses less digits than its factorization.

32428998282240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4257 (or 4236 counting only the distinct ones).

The product of its (nonzero) digits is 63700992, while the sum is 63.

The spelling of 32428998282240 in words is "thirty-two trillion, four hundred twenty-eight billion, nine hundred ninety-eight million, two hundred eighty-two thousand, two hundred forty".