332553988728 has 192 divisors, whose sum is σ = 1021745088000. Its totient is φ = 96867995904.

The previous prime is 332553988703. The next prime is 332553988759. The reversal of 332553988728 is 827889355233.

332553988728 is a `hidden beast` number, since 3 + 3 + 2 + 553 + 9 + 8 + 8 + 72 + 8 = 666.

332553988728 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×332553988728³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27434653 + ... + 27446771.

It is an arithmetic number, because the mean of its divisors is an integer number (5321589000).

Almost surely, 2^332553988728 is an apocalyptic number.

332553988728 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 332553988728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510872544000).

332553988728 is an abundant number, since it is smaller than the sum of its proper divisors (689191099272).

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

332553988728 is a wasteful number, since it uses less digits than its factorization.

332553988728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13706 (or 13699 counting only the distinct ones).

The product of its digits is 87091200, while the sum is 63.

The spelling of 332553988728 in words is "three hundred thirty-two billion, five hundred fifty-three million, nine hundred eighty-eight thousand, seven hundred twenty-eight".