13628280 has 48 divisors (see below), whose sum is σ = 41006520. Its totient is φ = 3623424.

The previous prime is 13628273. The next prime is 13628281. The reversal of 13628280 is 8282631.

13628280 = 8² + 9² + ... + 344².

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13628281) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40272 + ... + 40608.

Almost surely, 2^13628280 is an apocalyptic number.

13628280 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 13628280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20503260).

13628280 is an abundant number, since it is smaller than the sum of its proper divisors (27378240).

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

13628280 is an equidigital number, since it uses as much as digits as its factorization.

13628280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 688 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 13628280 is about 3691.6500375848. The cubic root of 13628280 is about 238.8619733712.

Multiplying 13628280 by its sum of digits (30), we get a square (408848400 = 20220²).

13628280 divided by its sum of digits (30) gives a square (454276 = 674²).

The spelling of 13628280 in words is "thirteen million, six hundred twenty-eight thousand, two hundred eighty".