28642000 has 40 divisors (see below), whose sum is σ = 69261192. Its totient is φ = 11456000.

The previous prime is 28641989. The next prime is 28642007. The reversal of 28642000 is 24682.

It can be written as a sum of positive squares in 4 ways, for example, as 7884864 + 20757136 = 2808^2 + 4556^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28642007) 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 7 ways as a sum of consecutive naturals, for example, 5161 + ... + 9160.

Almost surely, 2^28642000 is an apocalyptic number.

28642000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

28642000 is an abundant number, since it is smaller than the sum of its proper divisors (40619192).

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

28642000 is a wasteful number, since it uses less digits than its factorization.

28642000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14344 (or 14328 counting only the distinct ones).

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

The square root of 28642000 is about 5351.8221196150. The cubic root of 28642000 is about 305.9622035991.

Adding to 28642000 its reverse (24682), we get a palindrome (28666682).

The spelling of 28642000 in words is "twenty-eight million, six hundred forty-two thousand".