13768128 has 168 divisors, whose sum is σ = 44933616. Its totient is φ = 3993600.

The previous prime is 13768109. The next prime is 13768129. The reversal of 13768128 is 82186731.

13768128 is a nontrivial binomial coefficient, being equal to C(5248, 2).

It is a super-2 number, since 2×13768128² = 379122697248768, which contains 22 as substring.

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 = 13768092 and 13768101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13768129) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 259750 + ... + 259802.

It is an arithmetic number, because the mean of its divisors is an integer number (267462).

Almost surely, 2^13768128 is an apocalyptic number.

13768128 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

13768128 is the 5247-th triangular number and also the 2624-th hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13768128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22466808).

13768128 is an abundant number, since it is smaller than the sum of its proper divisors (31165488).

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

13768128 is a wasteful number, since it uses less digits than its factorization.

13768128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 110 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 13768128 is about 3710.5428174325. The cubic root of 13768128 is about 239.6762300841.

It can be divided in two parts, 137 and 68128, that added together give a triangular number (68265 = T₃₆₉).

The spelling of 13768128 in words is "thirteen million, seven hundred sixty-eight thousand, one hundred twenty-eight".