28047600 has 360 divisors, whose sum is σ = 118318320. Its totient is φ = 6289920.

The previous prime is 28047587. The next prime is 28047601. The reversal of 28047600 is 674082.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28047601) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 529174 + ... + 529226.

It is an arithmetic number, because the mean of its divisors is an integer number (328662).

Almost surely, 2^28047600 is an apocalyptic number.

28047600 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 28047600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59159160).

28047600 is an abundant number, since it is smaller than the sum of its proper divisors (90270720).

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

28047600 is a wasteful number, since it uses less digits than its factorization.

28047600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 28047600 is about 5295.9984894258. The cubic root of 28047600 is about 303.8308731464.

It can be divided in two parts, 2804 and 7600, that added together give a square (10404 = 102²).

The spelling of 28047600 in words is "twenty-eight million, forty-seven thousand, six hundred".