11728900 has 36 divisors (see below), whose sum is σ = 25943652. Its totient is φ = 4600960.

The previous prime is 11728891. The next prime is 11728903. The reversal of 11728900 is 982711.

It can be written as a sum of positive squares in 6 ways, for example, as 1179396 + 10549504 = 1086^2 + 3248^2 .

It is not an unprimeable number, because it can be changed into a prime (11728903) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4194 + ... + 6406.

It is an arithmetic number, because the mean of its divisors is an integer number (720657).

Almost surely, 2^11728900 is an apocalyptic number.

11728900 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 11728900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12971826).

11728900 is an abundant number, since it is smaller than the sum of its proper divisors (14214752).

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

11728900 is a wasteful number, since it uses less digits than its factorization.

11728900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2280 (or 2273 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 28.

The square root of 11728900 is about 3424.7481659240. The cubic root of 11728900 is about 227.2056330432.

It can be divided in two parts, 117 and 28900, that multiplied together give a triangular number (3381300 = T₂₆₀₀).

The spelling of 11728900 in words is "eleven million, seven hundred twenty-eight thousand, nine hundred".