28426000 has 80 divisors (see below), whose sum is σ = 70160688. Its totient is φ = 11136000.

The previous prime is 28425983. The next prime is 28426007. The reversal of 28426000 is 62482.

It can be written as a sum of positive squares in 8 ways, for example, as 21790224 + 6635776 = 4668^2 + 2576^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a hoax number, since the sum of its digits (22) 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 (28426007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 121884 + ... + 122116.

Almost surely, 2^28426000 is an apocalyptic number.

28426000 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 28426000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35080344).

28426000 is an abundant number, since it is smaller than the sum of its proper divisors (41734688).

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

28426000 is a wasteful number, since it uses less digits than its factorization.

28426000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 28426000 is about 5331.6038862616. The cubic root of 28426000 is about 305.1911370241.

Adding to 28426000 its reverse (62482), we get a palindrome (28488482).

The spelling of 28426000 in words is "twenty-eight million, four hundred twenty-six thousand".