28839200 has 144 divisors (see below), whose sum is σ = 78744960. Its totient is φ = 10245120.

The previous prime is 28839199. The next prime is 28839233. The reversal of 28839200 is 293882.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 488771 + ... + 488829.

It is an arithmetic number, because the mean of its divisors is an integer number (546840).

Almost surely, 2^28839200 is an apocalyptic number.

28839200 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 28839200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39372480).

28839200 is an abundant number, since it is smaller than the sum of its proper divisors (49905760).

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

28839200 is a wasteful number, since it uses less digits than its factorization.

28839200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 28839200 is about 5370.2141484302. The cubic root of 28839200 is about 306.6627808791.

It can be divided in two parts, 288 and 39200, that multiplied together give a square (11289600 = 3360²).

The spelling of 28839200 in words is "twenty-eight million, eight hundred thirty-nine thousand, two hundred".