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28646040 = 23352397107
BaseRepresentation
bin110110101000…
…1101010011000
31222220100222110
41231101222120
524313133130
62501552320
7465326103
oct155215230
958810873
1028646040
1115196215
1297156a0
135c1c927
143b3973a
1527acab0
hex1b51a98

28646040 has 128 divisors (see below), whose sum is σ = 91445760. Its totient is φ = 7163904.

The previous prime is 28646021. The next prime is 28646047. The reversal of 28646040 is 4064682.

28646040 = T196 + T197 + ... + T563.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 28645989 and 28646007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28646047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 267667 + ... + 267773.

It is an arithmetic number, because the mean of its divisors is an integer number (714420).

Almost surely, 228646040 is an apocalyptic number.

28646040 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 28646040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45722880).

28646040 is an abundant number, since it is smaller than the sum of its proper divisors (62799720).

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

28646040 is a wasteful number, since it uses less digits than its factorization.

28646040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 28646040 is about 5352.1995478495. The cubic root of 28646040 is about 305.9765884092.

The spelling of 28646040 in words is "twenty-eight million, six hundred forty-six thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 92 97 107 115 120 138 184 194 214 230 276 291 321 345 388 428 460 485 535 552 582 642 690 776 856 920 970 1070 1164 1284 1380 1455 1605 1940 2140 2231 2328 2461 2568 2760 2910 3210 3880 4280 4462 4922 5820 6420 6693 7383 8924 9844 10379 11155 11640 12305 12840 13386 14766 17848 19688 20758 22310 24610 26772 29532 31137 33465 36915 41516 44620 49220 51895 53544 59064 62274 66930 73830 83032 89240 98440 103790 124548 133860 147660 155685 207580 238717 249096 267720 295320 311370 415160 477434 622740 716151 954868 1193585 1245480 1432302 1909736 2387170 2864604 3580755 4774340 5729208 7161510 9548680 14323020 28646040