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28321750648344 = 2331923123401561
BaseRepresentation
bin1100111000010001010111…
…11000110000011000011000
310201021112101111110100120110
412130020223320300120120
512203010421131221334
6140122455503124320
75652115245310446
oct634105370603030
9121245344410513
1028321750648344
11902a2069925aa
123214b40ba36a0
1312a5963cb21ca
146dcacc631b96
15341aa8c81ae9
hex19c22be30618

28321750648344 has 144 divisors (see below), whose sum is σ = 77215389368760. Its totient is φ = 8655201388800.

The previous prime is 28321750648339. The next prime is 28321750648351. The reversal of 28321750648344 is 44384605712382.

It is a happy number.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6625324 + ... + 10026884.

Almost surely, 228321750648344 is an apocalyptic number.

28321750648344 is a gapful number since it is divisible by the number (24) 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 28321750648344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38607694684380).

28321750648344 is an abundant number, since it is smaller than the sum of its proper divisors (48893638720416).

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

28321750648344 is a wasteful number, since it uses less digits than its factorization.

28321750648344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3401670 (or 3401616 counting only the distinct ones).

The product of its (nonzero) digits is 30965760, while the sum is 57.

The spelling of 28321750648344 in words is "twenty-eight trillion, three hundred twenty-one billion, seven hundred fifty million, six hundred forty-eight thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 19 24 31 38 57 62 76 93 114 124 152 186 228 248 361 372 456 589 722 744 961 1083 1178 1444 1767 1922 2166 2356 2883 2888 3534 3844 4332 4712 5766 7068 7688 8664 11191 11532 14136 18259 22382 23064 33573 36518 44764 54777 67146 73036 89528 109554 134292 146072 219108 268584 346921 438216 693842 1040763 1387684 2081526 2775368 3401561 4163052 6803122 8326104 10204683 13606244 20409366 27212488 40818732 64629659 81637464 105448391 129259318 193888977 210896782 258518636 316345173 387777954 421793564 517037272 632690346 775555908 843587128 1227963521 1265380692 1551111816 2003519429 2455927042 2530761384 3268900121 3683890563 4007038858 4911854084 6010558287 6537800242 7367781126 8014077716 9806700363 9823708168 12021116574 13075600484 14735562252 16028155432 19613400726 24042233148 26151200968 29471124504 38066869151 39226801452 48084466296 62109102299 76133738302 78453602904 114200607453 124218204598 152267476604 186327306897 228401214906 248436409196 304534953208 372654613794 456802429812 496872818392 745309227588 913604859624 1180072943681 1490618455176 2360145887362 3540218831043 4720291774724 7080437662086 9440583549448 14160875324172 28321750648344