13628400 has 120 divisors (see below), whose sum is σ = 44882544. Its totient is φ = 3532800.

The previous prime is 13628393. The next prime is 13628411. The reversal of 13628400 is 482631.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49062 + ... + 49338.

Almost surely, 2^13628400 is an apocalyptic number.

13628400 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 13628400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22441272).

13628400 is an abundant number, since it is smaller than the sum of its proper divisors (31254144).

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

13628400 is a wasteful number, since it uses less digits than its factorization.

13628400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 13628400 is about 3691.6662904439. Note that the first 3 decimals coincide. The cubic root of 13628400 is about 238.8626744465.

It can be divided in two parts, 13628 and 400, that added together give a triangular number (14028 = T₁₆₇).

The spelling of 13628400 in words is "thirteen million, six hundred twenty-eight thousand, four hundred".