328072248000 has 1344 divisors, whose sum is σ = 1416573849600. Its totient is φ = 74114611200.

The previous prime is 328072247983. The next prime is 328072248079. The reversal of 328072248000 is 842270823.

328072248000 is a `hidden beast` number, since 32 + 80 + 72 + 2 + 480 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1471175889 + ... + 1471176111.

It is an arithmetic number, because the mean of its divisors is an integer number (1053998400).

Almost surely, 2^328072248000 is an apocalyptic number.

328072248000 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 328072248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (708286924800).

328072248000 is an abundant number, since it is smaller than the sum of its proper divisors (1088501601600).

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

328072248000 is a wasteful number, since it uses less digits than its factorization.

328072248000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 328072248000 in words is "three hundred twenty-eight billion, seventy-two million, two hundred forty-eight thousand".