328803300 has 216 divisors, whose sum is σ = 1222102336. Its totient is φ = 75116160.

The previous prime is 328803271. The next prime is 328803337. The reversal of 328803300 is 3308823.

328803300 is a `hidden beast` number, since 328 + 8 + 0 + 330 + 0 = 666.

It is a super-2 number, since 2×328803300² = 216223220181780000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 169134 + ... + 171066.

Almost surely, 2^328803300 is an apocalyptic number.

328803300 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 328803300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (611051168).

328803300 is an abundant number, since it is smaller than the sum of its proper divisors (893299036).

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

328803300 is a wasteful number, since it uses less digits than its factorization.

328803300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1969 (or 1950 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 328803300 is about 18132.9341255077. The cubic root of 328803300 is about 690.2059876491.

The spelling of 328803300 in words is "three hundred twenty-eight million, eight hundred three thousand, three hundred".