13200928 has 36 divisors (see below), whose sum is σ = 28153818. Its totient is φ = 6090240.

The previous prime is 13200923. The next prime is 13200961. The reversal of 13200928 is 82900231.

It can be written as a sum of positive squares in 3 ways, for example, as 3640464 + 9560464 = 1908^2 + 3092^2 .

It is a super-2 number, since 2×13200928² = 348529000122368, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13200923) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4188 + ... + 6628.

Almost surely, 2^13200928 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 13200928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14076909).

13200928 is an abundant number, since it is smaller than the sum of its proper divisors (14952890).

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

13200928 is a wasteful number, since it uses less digits than its factorization.

13200928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2477 (or 2456 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 13200928 is about 3633.3081344692. The cubic root of 13200928 is about 236.3386882759.

The spelling of 13200928 in words is "thirteen million, two hundred thousand, nine hundred twenty-eight".