328509000000 has 784 divisors, whose sum is σ = 1262046345600. Its totient is φ = 83793600000.

The previous prime is 328508999993. The next prime is 328509000019. The reversal of 328509000000 is 905823.

The cubic root of 328509000000 is 6900.

It is a perfect power (a cube), and thus also a powerful number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 14282999989 + ... + 14283000011.

Almost surely, 2^328509000000 is an apocalyptic number.

328509000000 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 328509000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (631023172800).

328509000000 is an abundant number, since it is smaller than the sum of its proper divisors (933537345600).

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

328509000000 is an frugal number, since it uses more digits than its factorization.

328509000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Multiplying 328509000000 by its sum of digits (27), we get a cube (8869743000000 = 20700³).

328509000000 divided by its sum of digits (27) gives a cube (12167000000 = 2300³).

Adding to 328509000000 its reverse (905823), we get a palindrome (328509905823).

The spelling of 328509000000 in words is "three hundred twenty-eight billion, five hundred nine million", and thus it is an aban number.