328544414520 has 512 divisors, whose sum is σ = 1193915842560. Its totient is φ = 70753536000.

The previous prime is 328544414519. The next prime is 328544414533. The reversal of 328544414520 is 25414445823.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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, 153452650 + ... + 153454790.

It is an arithmetic number, because the mean of its divisors is an integer number (2331866880).

Almost surely, 2^328544414520 is an apocalyptic number.

328544414520 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 328544414520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (596957921280).

328544414520 is an abundant number, since it is smaller than the sum of its proper divisors (865371428040).

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

328544414520 is a wasteful number, since it uses less digits than its factorization.

328544414520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2347 (or 2343 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 42.

The spelling of 328544414520 in words is "three hundred twenty-eight billion, five hundred forty-four million, four hundred fourteen thousand, five hundred twenty".