11828400 has 60 divisors (see below), whose sum is σ = 37894152. Its totient is φ = 3153920.

The previous prime is 11828357. The next prime is 11828407. The reversal of 11828400 is 482811.

11828400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×11828400² = 279822093120000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (11828407) 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, 3729 + ... + 6128.

Almost surely, 2^11828400 is an apocalyptic number.

11828400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11828400 is an abundant number, since it is smaller than the sum of its proper divisors (26065752).

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

11828400 is a wasteful number, since it uses less digits than its factorization.

11828400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9878 (or 9867 counting only the distinct ones).

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

The square root of 11828400 is about 3439.2441029971. The cubic root of 11828400 is about 227.8463107064.

The spelling of 11828400 in words is "eleven million, eight hundred twenty-eight thousand, four hundred".