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28107200 = 2652111597
BaseRepresentation
bin110101100111…
…0000111000000
31221212222211102
41223032013000
524143412300
62442233532
7460623122
oct153160700
957788742
1028107200
11149583a0
1294b58a8
135a915a4
143a39212
1527030d5
hex1ace1c0

28107200 has 84 divisors (see below), whose sum is σ = 75495912. Its totient is φ = 10214400.

The previous prime is 28107199. The next prime is 28107227. The reversal of 28107200 is 270182.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 16802 + ... + 18398.

Almost surely, 228107200 is an apocalyptic number.

28107200 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 28107200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37747956).

28107200 is an abundant number, since it is smaller than the sum of its proper divisors (47388712).

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

28107200 is a wasteful number, since it uses less digits than its factorization.

28107200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1630 (or 1615 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 20.

The square root of 28107200 is about 5301.6223931925. The cubic root of 28107200 is about 304.0459302717.

Adding to 28107200 its reverse (270182), we get a palindrome (28377382).

The spelling of 28107200 in words is "twenty-eight million, one hundred seven thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 64 80 88 100 110 160 176 200 220 275 320 352 400 440 550 704 800 880 1100 1597 1600 1760 2200 3194 3520 4400 6388 7985 8800 12776 15970 17567 17600 25552 31940 35134 39925 51104 63880 70268 79850 87835 102208 127760 140536 159700 175670 255520 281072 319400 351340 439175 511040 562144 638800 702680 878350 1124288 1277600 1405360 1756700 2555200 2810720 3513400 5621440 7026800 14053600 28107200