328512542490 has 288 divisors, whose sum is σ = 976336478208. Its totient is φ = 76497062400.

The previous prime is 328512542429. The next prime is 328512542509. The reversal of 328512542490 is 94245215823.

328512542490 is a `hidden beast` number, since 3 + 2 + 8 + 5 + 12 + 542 + 4 + 90 = 666.

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

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 46246279 + ... + 46253381.

It is an arithmetic number, because the mean of its divisors is an integer number (3390057216).

Almost surely, 2^328512542490 is an apocalyptic number.

328512542490 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 328512542490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488168239104).

328512542490 is an abundant number, since it is smaller than the sum of its proper divisors (647823935718).

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

328512542490 is a wasteful number, since it uses less digits than its factorization.

328512542490 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7306 (or 7292 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 328512542490 in words is "three hundred twenty-eight billion, five hundred twelve million, five hundred forty-two thousand, four hundred ninety".