13034035728 has 320 divisors, whose sum is σ = 45922775040. Its totient is φ = 3454617600.

The previous prime is 13034035727. The next prime is 13034035747. The reversal of 13034035728 is 82753043031.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 13034035692 and 13034035701.

It is not an unprimeable number, because it can be changed into a prime (13034035727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3648183 + ... + 3651753.

It is an arithmetic number, because the mean of its divisors is an integer number (143508672).

Almost surely, 2^13034035728 is an apocalyptic number.

13034035728 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 13034035728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22961387520).

13034035728 is an abundant number, since it is smaller than the sum of its proper divisors (32888739312).

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

13034035728 is a wasteful number, since it uses less digits than its factorization.

13034035728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3683 (or 3671 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

Adding to 13034035728 its reverse (82753043031), we get a palindrome (95787078759).

The spelling of 13034035728 in words is "thirteen billion, thirty-four million, thirty-five thousand, seven hundred twenty-eight".