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28820340 = 2233519532
BaseRepresentation
bin110110111110…
…0001101110100
32000020020002000
41231330031310
524334222330
62505415300
7466653213
oct155741564
960206060
1028820340
11152a516a
12979a530
135c81073
143b8307a
1527e4560
hex1b7c374

28820340 has 144 divisors (see below), whose sum is σ = 96196800. Its totient is φ = 7143552.

The previous prime is 28820291. The next prime is 28820347. The reversal of 28820340 is 4302882.

It is a super-2 number, since 2×288203402 = 1661223995431200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28820347) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 543754 + ... + 543806.

Almost surely, 228820340 is an apocalyptic number.

28820340 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 28820340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48098400).

28820340 is an abundant number, since it is smaller than the sum of its proper divisors (67376460).

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

28820340 is a wasteful number, since it uses less digits than its factorization.

28820340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 28820340 is about 5368.4578791307. The cubic root of 28820340 is about 306.5959167811.

The spelling of 28820340 in words is "twenty-eight million, eight hundred twenty thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 27 30 36 38 45 53 54 57 60 76 90 95 106 108 114 135 159 171 180 190 212 228 265 270 285 318 342 380 477 513 530 540 570 636 684 795 855 954 1007 1026 1060 1140 1431 1590 1710 1908 2014 2052 2385 2565 2809 2862 3021 3180 3420 4028 4770 5035 5130 5618 5724 6042 7155 8427 9063 9540 10070 10260 11236 12084 14045 14310 15105 16854 18126 20140 25281 27189 28090 28620 30210 33708 36252 42135 45315 50562 53371 54378 56180 60420 75843 84270 90630 101124 106742 108756 126405 135945 151686 160113 168540 181260 213484 252810 266855 271890 303372 320226 379215 480339 505620 533710 543780 640452 758430 800565 960678 1067420 1441017 1516860 1601130 1921356 2401695 2882034 3202260 4803390 5764068 7205085 9606780 14410170 28820340