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28280000 = 26547101
BaseRepresentation
bin110101111100…
…0010011000000
31222012202212102
41223320103000
524214430000
62450045532
7462242660
oct153702300
958182772
1028280000
1114a66201
1295798a8
135b22138
143a821a0
1527393d5
hex1af84c0

28280000 has 140 divisors (see below), whose sum is σ = 80936592. Its totient is φ = 9600000.

The previous prime is 28279997. The next prime is 28280047. The reversal of 28280000 is 8282.

It is a tau number, because it is divible by the number of its divisors (140).

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

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 19 ways as a sum of consecutive naturals, for example, 279950 + ... + 280050.

Almost surely, 228280000 is an apocalyptic number.

28280000 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 28280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40468296).

28280000 is an abundant number, since it is smaller than the sum of its proper divisors (52656592).

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

28280000 is an equidigital number, since it uses as much as digits as its factorization.

28280000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

The square root of 28280000 is about 5317.8943201233. The cubic root of 28280000 is about 304.6677381441.

Adding to 28280000 its reverse (8282), we get a palindrome (28288282).

It can be divided in two parts, 28 and 280000, that multiplied together give a square (7840000 = 28002).

The spelling of 28280000 in words is "twenty-eight million, two hundred eighty thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 64 70 80 100 101 112 125 140 160 175 200 202 224 250 280 320 350 400 404 448 500 505 560 625 700 707 800 808 875 1000 1010 1120 1250 1400 1414 1600 1616 1750 2000 2020 2240 2500 2525 2800 2828 3232 3500 3535 4000 4040 4375 5000 5050 5600 5656 6464 7000 7070 8000 8080 8750 10000 10100 11200 11312 12625 14000 14140 16160 17500 17675 20000 20200 22624 25250 28000 28280 32320 35000 35350 40000 40400 45248 50500 56000 56560 63125 70000 70700 80800 88375 101000 113120 126250 140000 141400 161600 176750 202000 226240 252500 280000 282800 353500 404000 441875 505000 565600 707000 808000 883750 1010000 1131200 1414000 1767500 2020000 2828000 3535000 4040000 5656000 7070000 14140000 28280000