13492728 has 48 divisors (see below), whose sum is σ = 37101480. Its totient is φ = 4428864.

The previous prime is 13492723. The next prime is 13492733. The reversal of 13492728 is 82729431.

It is an interprime number because it is at equal distance from previous prime (13492723) and next prime (13492733).

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 = 13492692 and 13492701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13492723) 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, 3426 + ... + 6222.

Almost surely, 2^13492728 is an apocalyptic number.

13492728 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 13492728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18550740).

13492728 is an abundant number, since it is smaller than the sum of its proper divisors (23608752).

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

13492728 is a wasteful number, since it uses less digits than its factorization.

13492728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2876 (or 2869 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 13492728 is about 3673.2448870175. The cubic root of 13492728 is about 238.0673961145.

The spelling of 13492728 in words is "thirteen million, four hundred ninety-two thousand, seven hundred twenty-eight".