328935899136 has 768 divisors, whose sum is σ = 1073859655680. Its totient is φ = 88756715520.

The previous prime is 328935899101. The next prime is 328935899137. The reversal of 328935899136 is 631998539823.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Smith number, since the sum of its digits (66) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (328935899137) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10610835441 + ... + 10610835471.

It is an arithmetic number, because the mean of its divisors is an integer number (1398254760).

Almost surely, 2^328935899136 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 328935899136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536929827840).

328935899136 is an abundant number, since it is smaller than the sum of its proper divisors (744923756544).

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

328935899136 is a wasteful number, since it uses less digits than its factorization.

328935899136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 91 counting only the distinct ones).

The product of its digits is 75582720, while the sum is 66.

The spelling of 328935899136 in words is "three hundred twenty-eight billion, nine hundred thirty-five million, eight hundred ninety-nine thousand, one hundred thirty-six".