11513628 has 108 divisors (see below), whose sum is σ = 34732152. Its totient is φ = 3205440.

The previous prime is 11513627. The next prime is 11513629. The reversal of 11513628 is 82631511.

It is an interprime number because it is at equal distance from previous prime (11513627) and next prime (11513629).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

Its product of digits (1440) is a multiple of the sum of its prime divisors (180).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11513627) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 107551 + ... + 107657.

It is an arithmetic number, because the mean of its divisors is an integer number (321594).

Almost surely, 2^11513628 is an apocalyptic number.

11513628 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 11513628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17366076).

11513628 is an abundant number, since it is smaller than the sum of its proper divisors (23218524).

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

11513628 is a wasteful number, since it uses less digits than its factorization.

11513628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 180 counting only the distinct ones).

The product of its digits is 1440, while the sum is 27.

The square root of 11513628 is about 3393.1737356051. The cubic root of 11513628 is about 225.8069984073.

The spelling of 11513628 in words is "eleven million, five hundred thirteen thousand, six hundred twenty-eight".