328628784000 has 512 divisors, whose sum is σ = 1240158366720. Its totient is φ = 76200960000.

The previous prime is 328628783981. The next prime is 328628784007. The reversal of 328628784000 is 487826823.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (328628784007) 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, 12130470 + ... + 12157530.

It is an arithmetic number, because the mean of its divisors is an integer number (2422184310).

Almost surely, 2^328628784000 is an apocalyptic number.

328628784000 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 328628784000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (620079183360).

328628784000 is an abundant number, since it is smaller than the sum of its proper divisors (911529582720).

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

328628784000 is a wasteful number, since it uses less digits than its factorization.

328628784000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27127 (or 27105 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 48.

The spelling of 328628784000 in words is "three hundred twenty-eight billion, six hundred twenty-eight million, seven hundred eighty-four thousand".