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28300832640 = 273254913339
BaseRepresentation
bin11010010110110111…
…000110111110000000
32201001100000020221200
4122112313012332000
5430430003121030
621000133021200
72021215052103
oct322667067600
981040006850
1028300832640
111100309a493
125599a84800
13289034a822
1415268dc73a
15b0988bd60
hex696dc6f80

28300832640 has 96 divisors (see below), whose sum is σ = 97726332600. Its totient is φ = 7546887168.

The previous prime is 28300832627. The next prime is 28300832687. The reversal of 28300832640 is 4623800382.

28300832640 is a `hidden beast` number, since 2 + 8 + 3 + 0 + 0 + 8 + 3 + 2 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 28300832595 and 28300832604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2450910 + ... + 2462429.

Almost surely, 228300832640 is an apocalyptic number.

28300832640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

28300832640 is an abundant number, since it is smaller than the sum of its proper divisors (69425499960).

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

28300832640 is a wasteful number, since it uses less digits than its factorization.

28300832640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4913364 (or 4913349 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 28300832640 in words is "twenty-eight billion, three hundred million, eight hundred thirty-two thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 288 320 360 384 480 576 640 720 960 1152 1440 1920 2880 5760 4913339 9826678 14740017 19653356 24566695 29480034 39306712 44220051 49133390 58960068 73700085 78613424 88440102 98266780 117920136 147400170 157226848 176880204 196533560 221100255 235840272 294800340 314453696 353760408 393067120 442200510 471680544 589600680 628907392 707520816 786134240 884401020 943361088 1179201360 1415041632 1572268480 1768802040 1886722176 2358402720 2830083264 3144536960 3537604080 4716805440 5660166528 7075208160 9433610880 14150416320 28300832640