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28700360 = 2351397569
BaseRepresentation
bin110110101111…
…0111011001000
32000000010111022
41231132323020
524321402420
62503052012
7465643343
oct155367310
960003438
1028700360
1115223007
129741008
135c3b580
143b5145a
1527bdc25
hex1b5eec8

28700360 has 64 divisors (see below), whose sum is σ = 70383600. Its totient is φ = 10469376.

The previous prime is 28700333. The next prime is 28700381. The reversal of 28700360 is 6300782.

It can be written as a sum of positive squares in 8 ways, for example, as 2669956 + 26030404 = 1634^2 + 5102^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50156 + ... + 50724.

Almost surely, 228700360 is an apocalyptic number.

28700360 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 28700360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35191800).

28700360 is an abundant number, since it is smaller than the sum of its proper divisors (41683240).

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

28700360 is a wasteful number, since it uses less digits than its factorization.

28700360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 690 (or 686 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 28700360 is about 5357.2716936889. The cubic root of 28700360 is about 306.1698688034.

The spelling of 28700360 in words is "twenty-eight million, seven hundred thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 97 104 130 194 260 388 485 520 569 776 970 1138 1261 1940 2276 2522 2845 3880 4552 5044 5690 6305 7397 10088 11380 12610 14794 22760 25220 29588 36985 50440 55193 59176 73970 110386 147940 220772 275965 295880 441544 551930 717509 1103860 1435018 2207720 2870036 3587545 5740072 7175090 14350180 28700360