13300728 has 64 divisors (see below), whose sum is σ = 38949120. Its totient is φ = 3705600.

The previous prime is 13300711. The next prime is 13300733. The reversal of 13300728 is 82700331.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 13300698 and 13300707.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5923 + ... + 7853.

It is an arithmetic number, because the mean of its divisors is an integer number (608580).

Almost surely, 2^13300728 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 13300728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19474560).

13300728 is an abundant number, since it is smaller than the sum of its proper divisors (25648392).

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

13300728 is a wasteful number, since it uses less digits than its factorization.

13300728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1988 (or 1984 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 13300728 is about 3647.0163147428. The cubic root of 13300728 is about 236.9327730419.

It can be divided in two parts, 13300 and 728, that added together give a triangular number (14028 = T₁₆₇).

The spelling of 13300728 in words is "thirteen million, three hundred thousand, seven hundred twenty-eight".