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28072824688496 = 2472352133436257
BaseRepresentation
bin1100110001000001101101…
…01111100100111101110000
310200101201212102100101120002
412120200312233210331300
512134421121110012441
6135412251100005132
75625123523463210
oct630406657447560
9120351772311502
1028072824688496
118a43688752645
1231948502307a8
1312883435b4c43
146d0a36722240
1533a38a3c1b9b
hex198836be4f70

28072824688496 has 160 divisors (see below), whose sum is σ = 65018246565888. Its totient is φ = 11480754954240.

The previous prime is 28072824688463. The next prime is 28072824688501. The reversal of 28072824688496 is 69488642827082.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4486623800 + ... + 4486630056.

Almost surely, 228072824688496 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28072824688496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32509123282944).

28072824688496 is an abundant number, since it is smaller than the sum of its proper divisors (36945421877392).

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

28072824688496 is a wasteful number, since it uses less digits than its factorization.

28072824688496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10159 (or 10153 counting only the distinct ones).

The product of its (nonzero) digits is 1189085184, while the sum is 74.

The spelling of 28072824688496 in words is "twenty-eight trillion, seventy-two billion, eight hundred twenty-four million, six hundred eighty-eight thousand, four hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 23 28 46 56 92 112 161 184 322 368 521 644 1042 1288 2084 2576 3343 3647 4168 6257 6686 7294 8336 11983 12514 13372 14588 23401 23966 25028 26744 29176 43799 46802 47932 50056 53488 58352 76889 83881 87598 93604 95864 100112 143911 153778 167762 175196 187208 191728 287822 307556 335524 350392 374416 538223 575644 615112 671048 700784 1007377 1076446 1151288 1230224 1342096 1741703 2014754 2152892 2302576 3259897 3483406 4029508 4305784 6519794 6966812 8059016 8611568 12191921 13039588 13933624 16118032 20917151 22819279 24383842 26079176 27867248 40059169 41834302 45638558 48767684 52158352 74977631 80118338 83668604 91277116 97535368 146420057 149955262 160236676 167337208 182554232 195070736 280414183 292840114 299910524 320473352 334674416 365108464 481094473 524843417 560828366 585680228 599821048 640946704 962188946 1049686834 1121656732 1171360456 1199642096 1924377892 2099373668 2243313464 2342720912 3367661311 3848755784 4198747336 4486626928 6735322622 7697511568 8397494672 10897835671 13470645244 21795671342 26941290488 43591342684 53882580976 76284849697 87182685368 152569699394 174365370736 250650220433 305139398788 501300440866 610278797576 1002600881732 1220557595152 1754551543031 2005201763464 3509103086062 4010403526928 7018206172124 14036412344248 28072824688496