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28052500 = 225472229
BaseRepresentation
bin110101100000…
…0110000010100
31221210012210111
41223000300110
524140140000
62441132404
7460304500
oct153006024
957705714
1028052500
1114920293
12948a104
135a72718
143a23300
1526e1cba
hex1ac0c14

28052500 has 90 divisors (see below), whose sum is σ = 71672370. Its totient is φ = 9576000.

The previous prime is 28052477. The next prime is 28052503. The reversal of 28052500 is 525082.

It can be written as a sum of positive squares in 5 ways, for example, as 4588164 + 23464336 = 2142^2 + 4844^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28052503) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 122386 + ... + 122614.

Almost surely, 228052500 is an apocalyptic number.

28052500 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 28052500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35836185).

28052500 is an abundant number, since it is smaller than the sum of its proper divisors (43619870).

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

28052500 is a wasteful number, since it uses less digits than its factorization.

28052500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 22.

The square root of 28052500 is about 5296.4610826475. The cubic root of 28052500 is about 303.8485655050.

Adding to 28052500 its reverse (525082), we get a palindrome (28577582).

The spelling of 28052500 in words is "twenty-eight million, fifty-two thousand, five hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 125 140 175 196 229 245 250 350 458 490 500 625 700 875 916 980 1145 1225 1250 1603 1750 2290 2450 2500 3206 3500 4375 4580 4900 5725 6125 6412 8015 8750 11221 11450 12250 16030 17500 22442 22900 24500 28625 30625 32060 40075 44884 56105 57250 61250 80150 112210 114500 122500 143125 160300 200375 224420 280525 286250 400750 561050 572500 801500 1001875 1122100 1402625 2003750 2805250 4007500 5610500 7013125 14026250 28052500