13193928 has 96 divisors (see below), whose sum is σ = 40491360. Its totient is φ = 3991680.

The previous prime is 13193909. The next prime is 13193951. The reversal of 13193928 is 82939131.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 13193892 and 13193901.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21076 + ... + 21692.

It is an arithmetic number, because the mean of its divisors is an integer number (421785).

Almost surely, 2^13193928 is an apocalyptic number.

13193928 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 13193928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20245680).

13193928 is an abundant number, since it is smaller than the sum of its proper divisors (27297432).

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

13193928 is a wasteful number, since it uses less digits than its factorization.

13193928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 649 (or 633 counting only the distinct ones).

The product of its digits is 11664, while the sum is 36.

The square root of 13193928 is about 3632.3446972995. The cubic root of 13193928 is about 236.2969067859.

The spelling of 13193928 in words is "thirteen million, one hundred ninety-three thousand, nine hundred twenty-eight".