11628408 has 64 divisors (see below), whose sum is σ = 33592320. Its totient is φ = 3315200.

The previous prime is 11628403. The next prime is 11628413. The reversal of 11628408 is 80482611.

It is an interprime number because it is at equal distance from previous prime (11628403) and next prime (11628413).

It is a super-2 number, since 2×11628408² = 270439745228928, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11628401) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3193 + ... + 5783.

It is an arithmetic number, because the mean of its divisors is an integer number (524880).

Almost surely, 2^11628408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11628408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16796160).

11628408 is an abundant number, since it is smaller than the sum of its proper divisors (21963912).

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

11628408 is a wasteful number, since it uses less digits than its factorization.

11628408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2628 (or 2624 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 11628408 is about 3410.0451609913. The cubic root of 11628408 is about 226.5548795186.

The spelling of 11628408 in words is "eleven million, six hundred twenty-eight thousand, four hundred eight".