11628820 has 24 divisors (see below), whose sum is σ = 27909504. Its totient is φ = 3986976.

The previous prime is 11628809. The next prime is 11628821. The reversal of 11628820 is 2882611.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11628821) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41392 + ... + 41671.

It is an arithmetic number, because the mean of its divisors is an integer number (1162896).

Almost surely, 2^11628820 is an apocalyptic number.

11628820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11628820 is an abundant number, since it is smaller than the sum of its proper divisors (16280684).

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

11628820 is a wasteful number, since it uses less digits than its factorization.

11628820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83079 (or 83077 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 28.

The square root of 11628820 is about 3410.1055702133. The cubic root of 11628820 is about 226.5575551358.

The spelling of 11628820 in words is "eleven million, six hundred twenty-eight thousand, eight hundred twenty".