328734720 has 384 divisors, whose sum is σ = 1238328000. Its totient is φ = 82575360.

The previous prime is 328734683. The next prime is 328734727. The reversal of 328734720 is 27437823.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×328734720² = 216133032266956800, 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 (328734727) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8017900 + ... + 8017940.

Almost surely, 2^328734720 is an apocalyptic number.

328734720 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 328734720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (619164000).

328734720 is an abundant number, since it is smaller than the sum of its proper divisors (909593280).

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

328734720 is a wasteful number, since it uses less digits than its factorization.

328734720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 328734720 is about 18131.0429926135. The cubic root of 328734720 is about 690.1579978450.

The spelling of 328734720 in words is "three hundred twenty-eight million, seven hundred thirty-four thousand, seven hundred twenty".