328405022400 has 1344 divisors, whose sum is σ = 1390702100480. Its totient is φ = 65990246400.

The previous prime is 328405022399. The next prime is 328405022453. The reversal of 328405022400 is 4220504823.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1069723047 + ... + 1069723353.

Almost surely, 2^328405022400 is an apocalyptic number.

328405022400 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 328405022400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (695351050240).

328405022400 is an abundant number, since it is smaller than the sum of its proper divisors (1062297078080).

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

328405022400 is a wasteful number, since it uses less digits than its factorization.

328405022400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

The spelling of 328405022400 in words is "three hundred twenty-eight billion, four hundred five million, twenty-two thousand, four hundred".