13428800 has 168 divisors, whose sum is σ = 41574720. Its totient is φ = 4147200.

The previous prime is 13428773. The next prime is 13428809. The reversal of 13428800 is 882431.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 13428800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13428809) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 123146 + ... + 123254.

Almost surely, 2^13428800 is an apocalyptic number.

13428800 is a gapful number since it is divisible by the number (10) 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 13428800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20787360).

13428800 is an abundant number, since it is smaller than the sum of its proper divisors (28145920).

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

13428800 is a wasteful number, since it uses less digits than its factorization.

13428800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 13428800 is about 3664.5327123659. The cubic root of 13428800 is about 237.6908161793.

The spelling of 13428800 in words is "thirteen million, four hundred twenty-eight thousand, eight hundred".