328944000 has 512 divisors, whose sum is σ = 1374796800. Its totient is φ = 67584000.

The previous prime is 328943969. The next prime is 328944043. The reversal of 328944000 is 449823.

328944000 = T₂₈₀ + T₂₈₁ + ... + T₁₂₅₈.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3695956 + ... + 3696044.

It is an arithmetic number, because the mean of its divisors is an integer number (2685150).

Almost surely, 2^328944000 is an apocalyptic number.

328944000 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 328944000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (687398400).

328944000 is an abundant number, since it is smaller than the sum of its proper divisors (1045852800).

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

328944000 is a wasteful number, since it uses less digits than its factorization.

328944000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 328944000 is about 18136.8133915526. The cubic root of 328944000 is about 690.3044235365.

The spelling of 328944000 in words is "three hundred twenty-eight million, nine hundred forty-four thousand".