10328135915328 has 672 divisors, whose sum is σ = 37519592914944. Its totient is φ = 2443364352000.

The previous prime is 10328135915303. The next prime is 10328135915387. The reversal of 10328135915328 is 82351953182301.

10328135915328 is digitally balanced in base 2, 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 (672).

It is a Harshad number since it is a multiple of its sum of digits (51).

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, 85642593 + ... + 85763103.

It is an arithmetic number, because the mean of its divisors is an integer number (55832727552).

Almost surely, 2^{10328135915328} 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 10328135915328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18759796457472).

10328135915328 is an abundant number, since it is smaller than the sum of its proper divisors (27191456999616).

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

10328135915328 is a wasteful number, since it uses less digits than its factorization.

10328135915328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120603 (or 120582 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 51.

The spelling of 10328135915328 in words is "ten trillion, three hundred twenty-eight billion, one hundred thirty-five million, nine hundred fifteen thousand, three hundred twenty-eight".