328199040 has 320 divisors, whose sum is σ = 1264808160. Its totient is φ = 80621568.

The previous prime is 328199017. The next prime is 328199041. The reversal of 328199040 is 40991823.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 328198986 and 328199004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (328199041) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 673677 + ... + 674163.

Almost surely, 2^328199040 is an apocalyptic number.

328199040 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 328199040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632404080).

328199040 is an abundant number, since it is smaller than the sum of its proper divisors (936609120).

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

328199040 is a wasteful number, since it uses less digits than its factorization.

328199040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 531 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 328199040 is about 18116.2645156224. The cubic root of 328199040 is about 689.7829184784.

The spelling of 328199040 in words is "three hundred twenty-eight million, one hundred ninety-nine thousand, forty".