11628720 has 120 divisors (see below), whose sum is σ = 40390272. Its totient is φ = 2995200.

The previous prime is 11628719. The next prime is 11628733. The reversal of 11628720 is 2782611.

11628720 is a `hidden beast` number, since 11 + 628 + 7 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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, 22060 + ... + 22580.

Almost surely, 2^11628720 is an apocalyptic number.

11628720 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 11628720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20195136).

11628720 is an abundant number, since it is smaller than the sum of its proper divisors (28761552).

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

11628720 is a wasteful number, since it uses less digits than its factorization.

11628720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 571 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 11628720 is about 3410.0909078791. The cubic root of 11628720 is about 226.5569057200.

The spelling of 11628720 in words is "eleven million, six hundred twenty-eight thousand, seven hundred twenty".