328525200 has 240 divisors, whose sum is σ = 1231617600. Its totient is φ = 82944000.

The previous prime is 328525189. The next prime is 328525201. The reversal of 328525200 is 2525823.

328525200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is not an unprimeable number, because it can be changed into a prime (328525201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 204400 + ... + 206000.

It is an arithmetic number, because the mean of its divisors is an integer number (5131740).

Almost surely, 2^328525200 is an apocalyptic number.

328525200 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 328525200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (615808800).

328525200 is an abundant number, since it is smaller than the sum of its proper divisors (903092400).

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

328525200 is a wasteful number, since it uses less digits than its factorization.

328525200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1647 (or 1630 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 328525200 is about 18125.2641360064. The cubic root of 328525200 is about 690.0113419686.

The spelling of 328525200 in words is "three hundred twenty-eight million, five hundred twenty-five thousand, two hundred".