328879200 has 288 divisors, whose sum is σ = 1175924736. Its totient is φ = 79349760.

The previous prime is 328879183. The next prime is 328879219. The reversal of 328879200 is 2978823.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 2589537 + ... + 2589663.

It is an arithmetic number, because the mean of its divisors is an integer number (4083072).

Almost surely, 2^328879200 is an apocalyptic number.

328879200 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 328879200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (587962368).

328879200 is an abundant number, since it is smaller than the sum of its proper divisors (847045536).

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

328879200 is a wasteful number, since it uses less digits than its factorization.

328879200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 328879200 is about 18135.0268817005. The cubic root of 328879200 is about 690.2590919459.

The spelling of 328879200 in words is "three hundred twenty-eight million, eight hundred seventy-nine thousand, two hundred".