13973128 has 64 divisors (see below), whose sum is σ = 30164400. Its totient is φ = 6021120.

The previous prime is 13973123. The next prime is 13973129. The reversal of 13973128 is 82137931.

It can be written as a sum of positive squares in 8 ways, for example, as 484 + 13972644 = 22^2 + 3738^2 .

It is a super-2 number, since 2×13973128² = 390496612208768, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13973093 and 13973102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13973123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 123600 + ... + 123712.

Almost surely, 2^13973128 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 13973128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15082200).

13973128 is an abundant number, since it is smaller than the sum of its proper divisors (16191272).

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

13973128 is a wasteful number, since it uses less digits than its factorization.

13973128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 198 counting only the distinct ones).

The product of its digits is 9072, while the sum is 34.

The square root of 13973128 is about 3738.0647399423. The cubic root of 13973128 is about 240.8599244541.

The spelling of 13973128 in words is "thirteen million, nine hundred seventy-three thousand, one hundred twenty-eight".