11628420 has 96 divisors (see below), whose sum is σ = 34715520. Its totient is φ = 2903040.

The previous prime is 11628413. The next prime is 11628467. The reversal of 11628420 is 2482611.

11628420 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 31 ways as a sum of consecutive naturals, for example, 71259 + ... + 71421.

It is an arithmetic number, because the mean of its divisors is an integer number (361620).

Almost surely, 2^11628420 is an apocalyptic number.

11628420 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 11628420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17357760).

11628420 is an abundant number, since it is smaller than the sum of its proper divisors (23087100).

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

11628420 is a wasteful number, since it uses less digits than its factorization.

11628420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 11628420 is about 3410.0469204983. The cubic root of 11628420 is about 226.5549574501.

The spelling of 11628420 in words is "eleven million, six hundred twenty-eight thousand, four hundred twenty".