28609200 has 150 divisors (see below), whose sum is σ = 102792404. Its totient is φ = 7620480.

The previous prime is 28609169. The next prime is 28609213. The reversal of 28609200 is 290682.

It is a tau number, because it is divible by the number of its divisors (150).

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

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 29 ways as a sum of consecutive naturals, for example, 31959 + ... + 32841.

Almost surely, 2^28609200 is an apocalyptic number.

28609200 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 28609200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51396202).

28609200 is an abundant number, since it is smaller than the sum of its proper divisors (74183204).

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

28609200 is a wasteful number, since it uses less digits than its factorization.

28609200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 913 (or 893 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 28609200 is about 5348.7568649173. The cubic root of 28609200 is about 305.8453659303.

Adding to 28609200 its reverse (290682), we get a palindrome (28899882).

The spelling of 28609200 in words is "twenty-eight million, six hundred nine thousand, two hundred".