328214967600 has 1440 divisors, whose sum is σ = 1293361219584. Its totient is φ = 70734643200.

The previous prime is 328214967593. The next prime is 328214967629. The reversal of 328214967600 is 6769412823.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 328214967600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3954397159 + ... + 3954397241.

Almost surely, 2^328214967600 is an apocalyptic number.

328214967600 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 328214967600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (646680609792).

328214967600 is an abundant number, since it is smaller than the sum of its proper divisors (965146251984).

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

328214967600 is a wasteful number, since it uses less digits than its factorization.

328214967600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 48.

The spelling of 328214967600 in words is "three hundred twenty-eight billion, two hundred fourteen million, nine hundred sixty-seven thousand, six hundred".