328993500 has 192 divisors, whose sum is σ = 1060061184. Its totient is φ = 78624000.

The previous prime is 328993463. The next prime is 328993513. The reversal of 328993500 is 5399823.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2095422 + ... + 2095578.

It is an arithmetic number, because the mean of its divisors is an integer number (5521152).

Almost surely, 2^328993500 is an apocalyptic number.

328993500 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 328993500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530030592).

328993500 is an abundant number, since it is smaller than the sum of its proper divisors (731067684).

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

328993500 is a wasteful number, since it uses less digits than its factorization.

328993500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 39.

The square root of 328993500 is about 18138.1779680320. The cubic root of 328993500 is about 690.3390478243.

The spelling of 328993500 in words is "three hundred twenty-eight million, nine hundred ninety-three thousand, five hundred".