328950720 has 560 divisors, whose sum is σ = 1401470400. Its totient is φ = 73156608.

The previous prime is 328950719. The next prime is 328950751. The reversal of 328950720 is 27059823.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (560).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8890542 + ... + 8890578.

Almost surely, 2^328950720 is an apocalyptic number.

328950720 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 328950720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (700735200).

328950720 is an abundant number, since it is smaller than the sum of its proper divisors (1072519680).

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

328950720 is an equidigital number, since it uses as much as digits as its factorization.

328950720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 328950720 is about 18136.9986491702. The cubic root of 328950720 is about 690.3091242497.

328950720 divided by its product of nonzero digits (30240) gives a triangular number (10878 = T₁₄₇).

The spelling of 328950720 in words is "three hundred twenty-eight million, nine hundred fifty thousand, seven hundred twenty".