28426600 has 48 divisors (see below), whose sum is σ = 66876300. Its totient is φ = 11235840.

The previous prime is 28426591. The next prime is 28426609. The reversal of 28426600 is 662482.

It is an interprime number because it is at equal distance from previous prime (28426591) and next prime (28426609).

It can be written as a sum of positive squares in 6 ways, for example, as 2762244 + 25664356 = 1662^2 + 5066^2 .

It is not an unprimeable number, because it can be changed into a prime (28426609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17002 + ... + 18598.

Almost surely, 2^28426600 is an apocalyptic number.

28426600 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 28426600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33438150).

28426600 is an abundant number, since it is smaller than the sum of its proper divisors (38449700).

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

28426600 is a wasteful number, since it uses less digits than its factorization.

28426600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1702 (or 1693 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 28426600 is about 5331.6601542109. The cubic root of 28426600 is about 305.1932842765.

The spelling of 28426600 in words is "twenty-eight million, four hundred twenty-six thousand, six hundred".