13366728 has 64 divisors (see below), whose sum is σ = 39096000. Its totient is φ = 4219776.

The previous prime is 13366723. The next prime is 13366733. The reversal of 13366728 is 82766331.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (13366723) and next prime (13366733).

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 = 13366692 and 13366701.

It is not an unprimeable number, because it can be changed into a prime (13366723) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2476 + ... + 5732.

It is an arithmetic number, because the mean of its divisors is an integer number (610875).

Almost surely, 2^13366728 is an apocalyptic number.

13366728 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 13366728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19548000).

13366728 is an abundant number, since it is smaller than the sum of its proper divisors (25729272).

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

13366728 is a wasteful number, since it uses less digits than its factorization.

13366728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3291 (or 3281 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 13366728 is about 3656.0536101102. The cubic root of 13366728 is about 237.3240240285.

The spelling of 13366728 in words is "thirteen million, three hundred sixty-six thousand, seven hundred twenty-eight".