13607285328 has 960 divisors, whose sum is σ = 53383249920. Its totient is φ = 3135283200.

The previous prime is 13607285327. The next prime is 13607285339. The reversal of 13607285328 is 82358270631.

13607285328 is a `hidden beast` number, since 1 + 3 + 607 + 2 + 8 + 5 + 32 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13607285327) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 316448475 + ... + 316448517.

It is an arithmetic number, because the mean of its divisors is an integer number (55607552).

Almost surely, 2^13607285328 is an apocalyptic number.

13607285328 is a gapful number since it is divisible by the number (18) 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 13607285328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26691624960).

13607285328 is an abundant number, since it is smaller than the sum of its proper divisors (39775964592).

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

13607285328 is a wasteful number, since it uses less digits than its factorization.

13607285328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 13607285328 in words is "thirteen billion, six hundred seven million, two hundred eighty-five thousand, three hundred twenty-eight".