11400828 has 36 divisors (see below), whose sum is σ = 27672120. Its totient is φ = 3648960.

The previous prime is 11400827. The next prime is 11400833. The reversal of 11400828 is 82800411.

It is a junction number, because it is equal to n+sod(n) for n = 11400798 and 11400807.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11400827) 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, 62898 + ... + 63078.

It is an arithmetic number, because the mean of its divisors is an integer number (768670).

Almost surely, 2^11400828 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11400828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13836060).

11400828 is an abundant number, since it is smaller than the sum of its proper divisors (16271292).

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

11400828 is a wasteful number, since it uses less digits than its factorization.

11400828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 24.

The square root of 11400828 is about 3376.5112172182. The cubic root of 11400828 is about 225.0671601983.

The spelling of 11400828 in words is "eleven million, four hundred thousand, eight hundred twenty-eight".