28716600 has 192 divisors, whose sum is σ = 102672000. Its totient is φ = 6566400.

The previous prime is 28716593. The next prime is 28716601. The reversal of 28716600 is 661782.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28716601) 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 47 ways as a sum of consecutive naturals, for example, 125286 + ... + 125514.

It is an arithmetic number, because the mean of its divisors is an integer number (534750).

Almost surely, 2^28716600 is an apocalyptic number.

28716600 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 28716600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51336000).

28716600 is an abundant number, since it is smaller than the sum of its proper divisors (73955400).

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

28716600 is a wasteful number, since it uses less digits than its factorization.

28716600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 28716600 is about 5358.7871762181. The cubic root of 28716600 is about 306.2276063037.

The spelling of 28716600 in words is "twenty-eight million, seven hundred sixteen thousand, six hundred".