13028400 has 360 divisors, whose sum is σ = 57567744. Its totient is φ = 2649600.

The previous prime is 13028399. The next prime is 13028413. The reversal of 13028400 is 482031.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 277177 + ... + 277223.

Almost surely, 2^13028400 is an apocalyptic number.

13028400 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 13028400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28783872).

13028400 is an abundant number, since it is smaller than the sum of its proper divisors (44539344).

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

13028400 is a wasteful number, since it uses less digits than its factorization.

13028400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 13028400 is about 3609.4874982468. The cubic root of 13028400 is about 235.3045696337.

The spelling of 13028400 in words is "thirteen million, twenty-eight thousand, four hundred".