328883940 has 288 divisors, whose sum is σ = 1267418880. Its totient is φ = 67046400.

The previous prime is 328883839. The next prime is 328883941. The reversal of 328883940 is 49388823.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (328883941) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 845266 + ... + 845654.

It is an arithmetic number, because the mean of its divisors is an integer number (4400760).

Almost surely, 2^328883940 is an apocalyptic number.

328883940 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 328883940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (633709440).

328883940 is an abundant number, since it is smaller than the sum of its proper divisors (938534940).

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

328883940 is a wasteful number, since it uses less digits than its factorization.

328883940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 483 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 328883940 is about 18135.1575675537. The cubic root of 328883940 is about 690.2624080697.

The spelling of 328883940 in words is "three hundred twenty-eight million, eight hundred eighty-three thousand, nine hundred forty".