32328669155328 has 3120 divisors, whose sum is σ = 130214859001920. Its totient is φ = 7897903792128.

The previous prime is 32328669155273. The next prime is 32328669155339. The reversal of 32328669155328 is 82355196682323.

32328669155328 is a `hidden beast` number, since 3 + 2 + 3 + 2 + 8 + 6 + 6 + 91 + 5 + 532 + 8 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 333285248976 + ... + 333285249072.

Almost surely, 2^{32328669155328} is an apocalyptic number.

32328669155328 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 32328669155328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65107429500960).

32328669155328 is an abundant number, since it is smaller than the sum of its proper divisors (97886189846592).

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

32328669155328 is a wasteful number, since it uses less digits than its factorization.

32328669155328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 224 counting only the distinct ones).

The product of its digits is 111974400, while the sum is 63.

The spelling of 32328669155328 in words is "thirty-two trillion, three hundred twenty-eight billion, six hundred sixty-nine million, one hundred fifty-five thousand, three hundred twenty-eight".