28287600 has 120 divisors (see below), whose sum is σ = 98898432. Its totient is φ = 6854400.

The previous prime is 28287587. The next prime is 28287613. The reversal of 28287600 is 678282.

It is an interprime number because it is at equal distance from previous prime (28287587) and next prime (28287613).

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

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 12129 + ... + 14271.

Almost surely, 2^28287600 is an apocalyptic number.

28287600 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 28287600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49449216).

28287600 is an abundant number, since it is smaller than the sum of its proper divisors (70610832).

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

28287600 is a wasteful number, since it uses less digits than its factorization.

28287600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2175 (or 2164 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 28287600 is about 5318.6088406650. The cubic root of 28287600 is about 304.6950279534.

The spelling of 28287600 in words is "twenty-eight million, two hundred eighty-seven thousand, six hundred".