32998528768 has 72 divisors (see below), whose sum is σ = 70472173520. Its totient is φ = 15374499840.

The previous prime is 32998528763. The next prime is 32998528837. The reversal of 32998528768 is 86782589923.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32998528763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 241096 + ... + 352312.

Almost surely, 2^32998528768 is an apocalyptic number.

32998528768 is a gapful number since it is divisible by the number (38) 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 32998528768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35236086760).

32998528768 is an abundant number, since it is smaller than the sum of its proper divisors (37473644752).

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

32998528768 is a wasteful number, since it uses less digits than its factorization.

32998528768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111313 (or 111299 counting only the distinct ones).

The product of its digits is 104509440, while the sum is 67.

The spelling of 32998528768 in words is "thirty-two billion, nine hundred ninety-eight million, five hundred twenty-eight thousand, seven hundred sixty-eight".