328929840 has 120 divisors (see below), whose sum is σ = 1140367488. Its totient is φ = 84879360.

The previous prime is 328929827. The next prime is 328929841. The reversal of 328929840 is 48929823.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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 (328929841) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14952 + ... + 29688.

Almost surely, 2^328929840 is an apocalyptic number.

328929840 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 328929840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (570183744).

328929840 is an abundant number, since it is smaller than the sum of its proper divisors (811437648).

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

328929840 is a wasteful number, since it uses less digits than its factorization.

328929840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14787 (or 14778 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 328929840 is about 18136.4230210921. The cubic root of 328929840 is about 690.2945182529.

The spelling of 328929840 in words is "three hundred twenty-eight million, nine hundred twenty-nine thousand, eight hundred forty".