328086720 has 448 divisors, whose sum is σ = 1310883840. Its totient is φ = 76640256.

The previous prime is 328086719. The next prime is 328086721. The reversal of 328086720 is 27680823.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (328086719) and next prime (328086721).

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 (328086721) 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, 2583297 + ... + 2583423.

It is an arithmetic number, because the mean of its divisors is an integer number (2926080).

Almost surely, 2^328086720 is an apocalyptic number.

328086720 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 328086720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (655441920).

328086720 is an abundant number, since it is smaller than the sum of its proper divisors (982797120).

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

328086720 is a wasteful number, since it uses less digits than its factorization.

328086720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 328086720 is about 18113.1642735332. The cubic root of 328086720 is about 689.7042210541.

It can be divided in two parts, 3280 and 86720, that added together give a square (90000 = 300²).

The spelling of 328086720 in words is "three hundred twenty-eight million, eighty-six thousand, seven hundred twenty".