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28233830448 = 243457138153
BaseRepresentation
bin11010010010110111…
…100001000000110000
32200212122221012020000
4122102313201000300
5430310330033243
620545340550000
72016442412325
oct322267410060
980778835200
1028233830448
1110a7929677a
12557b552300
13287c4bb665
14151ba5ab4c
15b03a545d3
hex692de1030

28233830448 has 100 divisors (see below), whose sum is σ = 81862154088. Its totient is φ = 9394548480.

The previous prime is 28233830437. The next prime is 28233830479. The reversal of 28233830448 is 84403833282.

28233830448 is a `hidden beast` number, since 2 + 8 + 2 + 338 + 304 + 4 + 8 = 666.

It is a super-4 number, since 4×282338304484 (a number of 43 digits) contains 4444 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 720940 + ... + 759092.

Almost surely, 228233830448 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 28233830448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40931077044).

28233830448 is an abundant number, since it is smaller than the sum of its proper divisors (53628323640).

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

28233830448 is a wasteful number, since it uses less digits than its factorization.

28233830448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38744 (or 38729 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The spelling of 28233830448 in words is "twenty-eight billion, two hundred thirty-three million, eight hundred thirty thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 571 648 1142 1296 1713 2284 3426 4568 5139 6852 9136 10278 13704 15417 20556 27408 30834 38153 41112 46251 61668 76306 82224 92502 114459 123336 152612 185004 228918 246672 305224 343377 370008 457836 610448 686754 740016 915672 1030131 1373508 1831344 2060262 2747016 3090393 4120524 5494032 6180786 8241048 12361572 16482096 21785363 24723144 43570726 49446288 65356089 87141452 130712178 174282904 196068267 261424356 348565808 392136534 522848712 588204801 784273068 1045697424 1176409602 1568546136 1764614403 2352819204 3137092272 3529228806 4705638408 7058457612 9411276816 14116915224 28233830448