328411200 has 336 divisors, whose sum is σ = 1225824320. Its totient is φ = 76308480.

The previous prime is 328411199. The next prime is 328411211. The reversal of 328411200 is 2114823.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1185462 + ... + 1185738.

Almost surely, 2^328411200 is an apocalyptic number.

328411200 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 328411200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612912160).

328411200 is an abundant number, since it is smaller than the sum of its proper divisors (897413120).

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

328411200 is a wasteful number, since it uses less digits than its factorization.

328411200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 328411200 is about 18122.1190813878. The cubic root of 328411200 is about 689.9315201940.

The spelling of 328411200 in words is "three hundred twenty-eight million, four hundred eleven thousand, two hundred".