28825200 has 240 divisors, whose sum is σ = 109323360. Its totient is φ = 7188480.

The previous prime is 28825193. The next prime is 28825207. The reversal of 28825200 is 252882.

It is an interprime number because it is at equal distance from previous prime (28825193) and next prime (28825207).

It is a tau number, because it is divible by the number of its divisors (240).

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 (28825207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 183522 + ... + 183678.

It is an arithmetic number, because the mean of its divisors is an integer number (455514).

Almost surely, 2^28825200 is an apocalyptic number.

28825200 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 28825200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54661680).

28825200 is an abundant number, since it is smaller than the sum of its proper divisors (80498160).

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

28825200 is a wasteful number, since it uses less digits than its factorization.

28825200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 28825200 is about 5368.9105040036. The cubic root of 28825200 is about 306.6131496614.

The spelling of 28825200 in words is "twenty-eight million, eight hundred twenty-five thousand, two hundred".