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28342300518 = 23371494191201
BaseRepresentation
bin11010011001010101…
…010010111101100110
32201011020001001012000
4122121111102331212
5431021112104033
621004213510130
72022230402520
oct323125227546
981136031160
1028342300518
1111024542964
1255ab942346
132898b0952c
14152c214a10
15b0d32da13
hex699552f66

28342300518 has 128 divisors (see below), whose sum is σ = 72696960000. Its totient is φ = 8017574400.

The previous prime is 28342300507. The next prime is 28342300603. The reversal of 28342300518 is 81500324382.

28342300518 is a `hidden beast` number, since 2 + 8 + 342 + 300 + 5 + 1 + 8 = 666.

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 63 ways as a sum of consecutive naturals, for example, 23598318 + ... + 23599518.

It is an arithmetic number, because the mean of its divisors is an integer number (567945000).

Almost surely, 228342300518 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28342300518, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36348480000).

28342300518 is an abundant number, since it is smaller than the sum of its proper divisors (44354659482).

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

28342300518 is a wasteful number, since it uses less digits than its factorization.

28342300518 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1787 (or 1781 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 28342300518 in words is "twenty-eight billion, three hundred forty-two million, three hundred thousand, five hundred eighteen".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 149 189 298 378 419 447 838 894 1043 1201 1257 1341 2086 2402 2514 2682 2933 3129 3603 3771 4023 5866 6258 7206 7542 8046 8407 8799 9387 10809 11313 16814 17598 18774 21618 22626 25221 26397 28161 32427 50442 52794 56322 62431 64854 75663 79191 124862 151326 158382 178949 187293 226989 357898 374586 437017 453978 503219 536847 561879 874034 1006438 1073694 1123758 1252643 1311051 1509657 1610541 1685637 2505286 2622102 3019314 3221082 3371274 3522533 3757929 3933153 4528971 4831623 7045066 7515858 7866306 9057942 9663246 10567599 11273787 11799459 13586913 21135198 22547574 23598918 27173826 31702797 33821361 63405594 67642722 74979631 95108391 149959262 190216782 224938893 449877786 524857417 674816679 1049714834 1349633358 1574572251 2024450037 3149144502 4048900074 4723716753 9447433506 14171150259 28342300518