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28778200 = 235211103127
BaseRepresentation
bin110110111000…
…1111011011000
32000011002021021
41231301323120
524331400300
62504452224
7466416313
oct155617330
960132237
1028778200
1115276540
12977a074
135c67b29
143b7197a
1527d6d1a
hex1b71ed8

28778200 has 96 divisors (see below), whose sum is σ = 74280960. Its totient is φ = 10281600.

The previous prime is 28778171. The next prime is 28778213. The reversal of 28778200 is 287782.

It is a congruent number.

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, 226537 + ... + 226663.

It is an arithmetic number, because the mean of its divisors is an integer number (773760).

Almost surely, 228778200 is an apocalyptic number.

28778200 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 28778200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37140480).

28778200 is an abundant number, since it is smaller than the sum of its proper divisors (45502760).

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

28778200 is a wasteful number, since it uses less digits than its factorization.

28778200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 34.

The square root of 28778200 is about 5364.5316664179. The cubic root of 28778200 is about 306.4464129460.

Multiplying 28778200 by its reverse (287782), we get a square (8281847952400 = 28778202).

28778200 divided by its reverse (287782) gives a square (100 = 102).

It can be divided in two parts, 287 and 78200, that added together give a palindrome (78487).

The spelling of 28778200 in words is "twenty-eight million, seven hundred seventy-eight thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 103 110 127 200 206 220 254 275 412 440 508 515 550 635 824 1016 1030 1100 1133 1270 1397 2060 2200 2266 2540 2575 2794 3175 4120 4532 5080 5150 5588 5665 6350 6985 9064 10300 11176 11330 12700 13081 13970 20600 22660 25400 26162 27940 28325 34925 45320 52324 55880 56650 65405 69850 104648 113300 130810 139700 143891 226600 261620 279400 287782 327025 523240 575564 654050 719455 1151128 1308100 1438910 2616200 2877820 3597275 5755640 7194550 14389100 28778200