328409382624 has 96 divisors (see below), whose sum is σ = 871035669504. Its totient is φ = 108333335040.

The previous prime is 328409382619. The next prime is 328409382649. The reversal of 328409382624 is 426283904823.

328409382624 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15642214 + ... + 15663194.

It is an arithmetic number, because the mean of its divisors is an integer number (9073288224).

Almost surely, 2^328409382624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 328409382624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435517834752).

328409382624 is an abundant number, since it is smaller than the sum of its proper divisors (542626286880).

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

328409382624 is a wasteful number, since it uses less digits than its factorization.

328409382624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22680 (or 22672 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 51.

It can be divided in two parts, 328409382 and 624, that added together give a triangular number (328410006 = T₂₅₆₂₈).

The spelling of 328409382624 in words is "three hundred twenty-eight billion, four hundred nine million, three hundred eighty-two thousand, six hundred twenty-four".