28676400 has 120 divisors (see below), whose sum is σ = 95946240. Its totient is φ = 7307520.

The previous prime is 28676387. The next prime is 28676411. The reversal of 28676400 is 467682.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 27081 + ... + 28119.

It is an arithmetic number, because the mean of its divisors is an integer number (799552).

Almost surely, 2^28676400 is an apocalyptic number.

28676400 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 28676400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47973120).

28676400 is an abundant number, since it is smaller than the sum of its proper divisors (67269840).

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

28676400 is a wasteful number, since it uses less digits than its factorization.

28676400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1083 (or 1072 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 28676400 is about 5355.0350138911. The cubic root of 28676400 is about 306.0846448736.

The spelling of 28676400 in words is "twenty-eight million, six hundred seventy-six thousand, four hundred".