11428000 has 48 divisors (see below), whose sum is σ = 28088424. Its totient is φ = 4569600.

The previous prime is 11427991. The next prime is 11428009. The reversal of 11428000 is 82411.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11427991) and next prime (11428009).

It can be written as a sum of positive squares in 4 ways, for example, as 4309776 + 7118224 = 2076^2 + 2668^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (11428009) 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, 2572 + ... + 5428.

Almost surely, 2^11428000 is an apocalyptic number.

11428000 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 11428000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14044212).

11428000 is an abundant number, since it is smaller than the sum of its proper divisors (16660424).

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

11428000 is an equidigital number, since it uses as much as digits as its factorization.

11428000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2882 (or 2864 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 11428000 is about 3380.5325024321. The cubic root of 11428000 is about 225.2458218665.

The spelling of 11428000 in words is "eleven million, four hundred twenty-eight thousand".