28238200 has 48 divisors (see below), whose sum is σ = 66022560. Its totient is φ = 11232000.

The previous prime is 28238183. The next prime is 28238201. The reversal of 28238200 is 283282.

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28238201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 53940 + ... + 54460.

It is an arithmetic number, because the mean of its divisors is an integer number (1375470).

Almost surely, 2^28238200 is an apocalyptic number.

28238200 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 28238200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33011280).

28238200 is an abundant number, since it is smaller than the sum of its proper divisors (37784360).

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

28238200 is a wasteful number, since it uses less digits than its factorization.

28238200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 808 (or 799 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 28238200 is about 5313.9627398016. The cubic root of 28238200 is about 304.5175567308.

The spelling of 28238200 in words is "twenty-eight million, two hundred thirty-eight thousand, two hundred".