328345920 has 448 divisors, whose sum is σ = 1360627200. Its totient is φ = 72990720.

The previous prime is 328345909. The next prime is 328345921. The reversal of 328345920 is 29543823.

328345920 is a `hidden beast` number, since 32 + 8 + 34 + 592 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×328345920² = 215622086361292800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (328345921) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3689236 + ... + 3689324.

Almost surely, 2^328345920 is an apocalyptic number.

328345920 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 328345920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (680313600).

328345920 is an abundant number, since it is smaller than the sum of its proper divisors (1032281280).

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

328345920 is a wasteful number, since it uses less digits than its factorization.

328345920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 328345920 is about 18120.3178780064. The cubic root of 328345920 is about 689.8858034075.

The spelling of 328345920 in words is "three hundred twenty-eight million, three hundred forty-five thousand, nine hundred twenty".