11204928 has 126 divisors (see below), whose sum is σ = 37454586. Its totient is φ = 3193344.

The previous prime is 11204923. The next prime is 11204953. The reversal of 11204928 is 82940211.

It can be written as a sum of positive squares in only one way, i.e., 10188864 + 1016064 = 3192^2 + 1008^2 .

It is a tau number, because it is divible by the number of its divisors (126).

It is a super-2 number, since 2×11204928² = 251100822970368, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11204923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 28026 + ... + 28422.

Almost surely, 2^11204928 is an apocalyptic number.

11204928 is a gapful number since it is divisible by the number (18) 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 11204928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18727293).

11204928 is an abundant number, since it is smaller than the sum of its proper divisors (26249658).

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

11204928 is a wasteful number, since it uses less digits than its factorization.

11204928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 11204928 is about 3347.3762859888. The cubic root of 11204928 is about 223.7705984802.

The spelling of 11204928 in words is "eleven million, two hundred four thousand, nine hundred twenty-eight".