13349628 has 72 divisors (see below), whose sum is σ = 36800400. Its totient is φ = 4064256.

The previous prime is 13349627. The next prime is 13349629. The reversal of 13349628 is 82694331.

It is an interprime number because it is at equal distance from previous prime (13349627) and next prime (13349629).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 13349592 and 13349601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13349621) 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, 19500 + ... + 20172.

Almost surely, 2^13349628 is an apocalyptic number.

13349628 is a gapful number since it is divisible by the number (18) 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 13349628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18400200).

13349628 is an abundant number, since it is smaller than the sum of its proper divisors (23450772).

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

13349628 is a wasteful number, since it uses less digits than its factorization.

13349628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 731 (or 726 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 13349628 is about 3653.7142745431. The cubic root of 13349628 is about 237.2227782934. Note that the first 3 decimals are identical.

The spelling of 13349628 in words is "thirteen million, three hundred forty-nine thousand, six hundred twenty-eight".