13076928 has 84 divisors (see below), whose sum is σ = 38118288. Its totient is φ = 4285440.

The previous prime is 13076923. The next prime is 13076933. The reversal of 13076928 is 82967031.

It is an interprime number because it is at equal distance from previous prime (13076923) and next prime (13076933).

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 = 13076892 and 13076901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13076923) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41893 + ... + 42203.

Almost surely, 2^13076928 is an apocalyptic number.

13076928 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 13076928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19059144).

13076928 is an abundant number, since it is smaller than the sum of its proper divisors (25041360).

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

13076928 is a wasteful number, since it uses less digits than its factorization.

13076928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 13076928 is about 3616.2035340948. The cubic root of 13076928 is about 235.5963606907.

The spelling of 13076928 in words is "thirteen million, seventy-six thousand, nine hundred twenty-eight".