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28713082157040 = 24358312421116047
BaseRepresentation
bin1101000011101010010010…
…00011111111011111110000
310202122221111001201201222210
412201311021003333133300
512230413343013011130
6141022335143332120
76022310641251201
oct641651103773760
9122587431651883
1028713082157040
1191701713690a6
123278955151040
13130382a750948
14713a134355a8
1534bd5e6335b0
hex1a1d490ff7f0

28713082157040 has 160 divisors (see below), whose sum is σ = 90090999806976. Its totient is φ = 7563896847360.

The previous prime is 28713082157029. The next prime is 28713082157051. The reversal of 28713082157040 is 4075128031782.

It is an interprime number because it is at equal distance from previous prime (28713082157029) and next prime (28713082157051).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 247368297 + ... + 247484343.

Almost surely, 228713082157040 is an apocalyptic number.

28713082157040 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 28713082157040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45045499903488).

28713082157040 is an abundant number, since it is smaller than the sum of its proper divisors (61377917649936).

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

28713082157040 is a wasteful number, since it uses less digits than its factorization.

28713082157040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128567 (or 128561 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 48.

The spelling of 28713082157040 in words is "twenty-eight trillion, seven hundred thirteen billion, eighty-two million, one hundred fifty-seven thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 83 120 166 240 249 332 415 498 664 830 996 1245 1328 1660 1992 2490 3320 3984 4980 6640 9960 12421 19920 24842 37263 49684 62105 74526 99368 116047 124210 149052 186315 198736 232094 248420 298104 348141 372630 464188 496840 580235 596208 696282 745260 928376 993680 1030943 1160470 1392564 1490520 1740705 1856752 2061886 2320940 2785128 2981040 3092829 3481410 4123772 4641880 5154715 5570256 6185658 6962820 8247544 9283760 9631901 10309430 12371316 13925640 15464145 16495088 19263802 20618860 24742632 27851280 28895703 30928290 38527604 41237720 48159505 49485264 57791406 61856580 77055208 82475440 96319010 115582812 123713160 144478515 154110416 192638020 231165624 247426320 288957030 385276040 462331248 577914060 770552080 1155828120 1441419787 2311656240 2882839574 4324259361 5765679148 7207098935 8648518722 11531358296 14414197870 17297037444 21621296805 23062716592 28828395740 34594074888 43242593610 57656791480 69188149776 86485187220 115313582960 119637842321 172970374440 239275684642 345940748880 358913526963 478551369284 598189211605 717827053926 957102738568 1196378423210 1435654107852 1794567634815 1914205477136 2392756846420 2871308215704 3589135269630 4785513692840 5742616431408 7178270539260 9571027385680 14356541078520 28713082157040