328298987520 has 1632 divisors, whose sum is σ = 1465646407680. Its totient is φ = 68797071360.

The previous prime is 328298987477. The next prime is 328298987531. The reversal of 328298987520 is 25789892823.

328298987520 is a `hidden beast` number, since 3 + 2 + 8 + 29 + 8 + 9 + 87 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10590289905 + ... + 10590289935.

Almost surely, 2^328298987520 is an apocalyptic number.

328298987520 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 328298987520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (732823203840).

328298987520 is an abundant number, since it is smaller than the sum of its proper divisors (1137347420160).

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

328298987520 is an frugal number, since it uses more digits than its factorization.

328298987520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 63.

The spelling of 328298987520 in words is "three hundred twenty-eight billion, two hundred ninety-eight million, nine hundred eighty-seven thousand, five hundred twenty".