28126000 has 160 divisors (see below), whose sum is σ = 81244800. Its totient is φ = 9408000.

The previous prime is 28125989. The next prime is 28126003. The reversal of 28126000 is 62182.

It is a happy number.

It is a hoax number, since the sum of its digits (19) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (28126003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 685980 + ... + 686020.

It is an arithmetic number, because the mean of its divisors is an integer number (507780).

Almost surely, 2^28126000 is an apocalyptic number.

28126000 is a gapful number since it is divisible by the number (20) 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 28126000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40622400).

28126000 is an abundant number, since it is smaller than the sum of its proper divisors (53118800).

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

28126000 is an equidigital number, since it uses as much as digits as its factorization.

28126000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 28126000 is about 5303.3951389652. The cubic root of 28126000 is about 304.1137040038.

Adding to 28126000 its reverse (62182), we get a palindrome (28188182).

The spelling of 28126000 in words is "twenty-eight million, one hundred twenty-six thousand".