28006800 has 60 divisors (see below), whose sum is σ = 89718960. Its totient is φ = 7468160.

The previous prime is 28006799. The next prime is 28006819. The reversal of 28006800 is 860082.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10470 + ... + 12869.

It is an arithmetic number, because the mean of its divisors is an integer number (1495316).

Almost surely, 2^28006800 is an apocalyptic number.

28006800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

28006800 is an abundant number, since it is smaller than the sum of its proper divisors (61712160).

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

28006800 is a wasteful number, since it uses less digits than its factorization.

28006800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23360 (or 23349 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 28006800 is about 5292.1451227267. The cubic root of 28006800 is about 303.6834771086.

Adding to 28006800 its reverse (860082), we get a palindrome (28866882).

The spelling of 28006800 in words is "twenty-eight million, six thousand, eight hundred".