328463493120 has 1536 divisors, whose sum is σ = 1431082598400. Its totient is φ = 69837520896.

The previous prime is 328463493119. The next prime is 328463493131. The reversal of 328463493120 is 21394364823.

328463493120 is a `hidden beast` number, since 3 + 2 + 8 + 4 + 634 + 9 + 3 + 1 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2092124082 + ... + 2092124238.

It is an arithmetic number, because the mean of its divisors is an integer number (931694400).

Almost surely, 2^328463493120 is an apocalyptic number.

328463493120 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 328463493120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (715541299200).

328463493120 is an abundant number, since it is smaller than the sum of its proper divisors (1102619105280).

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

328463493120 is a wasteful number, since it uses less digits than its factorization.

328463493120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 328463493120 in words is "three hundred twenty-eight billion, four hundred sixty-three million, four hundred ninety-three thousand, one hundred twenty".