328723200 has 324 divisors, whose sum is σ = 1268547280. Its totient is φ = 80732160.

The previous prime is 328723193. The next prime is 328723223. The reversal of 328723200 is 2327823.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 748581 + ... + 749019.

Almost surely, 2^328723200 is an apocalyptic number.

328723200 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 328723200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (634273640).

328723200 is an abundant number, since it is smaller than the sum of its proper divisors (939824080).

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

328723200 is a wasteful number, since it uses less digits than its factorization.

328723200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 328723200 is about 18130.7253026458. The cubic root of 328723200 is about 690.1499359108.

The spelling of 328723200 in words is "three hundred twenty-eight million, seven hundred twenty-three thousand, two hundred".