328958990553600 has 2400 divisors, whose sum is σ = 1345722431644800. Its totient is φ = 78700983091200.

The previous prime is 328958990553587. The next prime is 328958990553629. The reversal of 328958990553600 is 6355099859823.

328958990553600 is a `hidden beast` number, since 3 + 2 + 8 + 9 + 5 + 8 + 9 + 9 + 0 + 5 + 5 + 3 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (2400).

It is a Harshad number since it is a multiple of its sum of digits (72).

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 239 ways as a sum of consecutive naturals, for example, 508437388477 + ... + 508437389123.

It is an arithmetic number, because the mean of its divisors is an integer number (560717679852).

Almost surely, 2^{328958990553600} is an apocalyptic number.

328958990553600 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 328958990553600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (672861215822400).

328958990553600 is an abundant number, since it is smaller than the sum of its proper divisors (1016763441091200).

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

328958990553600 is a wasteful number, since it uses less digits than its factorization.

328958990553600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1216 (or 1186 counting only the distinct ones).

The product of its (nonzero) digits is 629856000, while the sum is 72.

The spelling of 328958990553600 in words is "three hundred twenty-eight trillion, nine hundred fifty-eight billion, nine hundred ninety million, five hundred fifty-three thousand, six hundred".