328622400 has 168 divisors, whose sum is σ = 1198107840. Its totient is φ = 87621120.

The previous prime is 328622381. The next prime is 328622401. The reversal of 328622400 is 4226823.

328622400 is a `hidden beast` number, since 32 + 8 + 622 + 4 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (328622401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39397 + ... + 47003.

Almost surely, 2^328622400 is an apocalyptic number.

328622400 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 328622400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599053920).

328622400 is an abundant number, since it is smaller than the sum of its proper divisors (869485440).

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

328622400 is a wasteful number, since it uses less digits than its factorization.

328622400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7638 (or 7617 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 328622400 is about 18127.9452779404. The cubic root of 328622400 is about 690.0793859512.

The spelling of 328622400 in words is "three hundred twenty-eight million, six hundred twenty-two thousand, four hundred".