13490928 has 160 divisors (see below), whose sum is σ = 44997120. Its totient is φ = 3824640.

The previous prime is 13490879. The next prime is 13490947. The reversal of 13490928 is 82909431.

It is a Cunningham number, because it is equal to 3673²-1.

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 = 13490892 and 13490901.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 80701 + ... + 80867.

It is an arithmetic number, because the mean of its divisors is an integer number (281232).

Almost surely, 2^13490928 is an apocalyptic number.

13490928 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 13490928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22498560).

13490928 is an abundant number, since it is smaller than the sum of its proper divisors (31506192).

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

13490928 is a wasteful number, since it uses less digits than its factorization.

13490928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 13490928 is about 3672.9998638715. Note that the first 3 decimals coincide. The cubic root of 13490928 is about 238.0568091680.

The spelling of 13490928 in words is "thirteen million, four hundred ninety thousand, nine hundred twenty-eight".