11628300 has 72 divisors (see below), whose sum is σ = 34122816. Its totient is φ = 3056960.

The previous prime is 11628259. The next prime is 11628301. The reversal of 11628300 is 382611.

11628300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (11628301) 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, 24667 + ... + 25133.

It is an arithmetic number, because the mean of its divisors is an integer number (473928).

Almost surely, 2^11628300 is an apocalyptic number.

11628300 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 11628300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17061408).

11628300 is an abundant number, since it is smaller than the sum of its proper divisors (22494516).

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

11628300 is a wasteful number, since it uses less digits than its factorization.

11628300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 567 (or 560 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 11628300 is about 3410.0293253871. The cubic root of 11628300 is about 226.5541781327.

The spelling of 11628300 in words is "eleven million, six hundred twenty-eight thousand, three hundred".