11828610 has 48 divisors (see below), whose sum is σ = 30977856. Its totient is φ = 3131424.

The previous prime is 11828603. The next prime is 11828629. The reversal of 11828610 is 1682811.

11828610 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14637 + ... + 15423.

It is an arithmetic number, because the mean of its divisors is an integer number (645372).

Almost surely, 2^11828610 is an apocalyptic number.

11828610 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11828610, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15488928).

11828610 is an abundant number, since it is smaller than the sum of its proper divisors (19149246).

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

11828610 is a wasteful number, since it uses less digits than its factorization.

11828610 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 967 (or 964 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 27.

The square root of 11828610 is about 3439.2746328259. The cubic root of 11828610 is about 227.8476590838.

The spelling of 11828610 in words is "eleven million, eight hundred twenty-eight thousand, six hundred ten".