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9928427880 = 2335725794583
BaseRepresentation
bin10010011111100011…
…11100100101101000
3221121221002101122010
421033301330211220
5130313134143010
64321104355520
7501015146610
oct111761744550
927557071563
109928427880
11423537a8a8
121b11015ba0
13c22c1b1c7
146a2851a40
153d1971620
hex24fc7c968

9928427880 has 128 divisors (see below), whose sum is σ = 34060953600. Its totient is φ = 2267980032.

The previous prime is 9928427833. The next prime is 9928427891. The reversal of 9928427880 is 887248299.

It is a super-2 number, since 2×99284278802 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 9928427880.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2164069 + ... + 2168651.

It is an arithmetic number, because the mean of its divisors is an integer number (266101200).

Almost surely, 29928427880 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 9928427880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17030476800).

9928427880 is an abundant number, since it is smaller than the sum of its proper divisors (24132525720).

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

9928427880 is a wasteful number, since it uses less digits than its factorization.

9928427880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7183 (or 7179 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 57.

The square root of 9928427880 is about 99641.4967771962. The cubic root of 9928427880 is about 2149.2824632796.

The spelling of 9928427880 in words is "nine billion, nine hundred twenty-eight million, four hundred twenty-seven thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 2579 4583 5158 7737 9166 10316 12895 13749 15474 18053 18332 20632 22915 25790 27498 30948 32081 36106 36664 38685 45830 51580 54159 54996 61896 64162 68745 72212 77370 90265 91660 96243 103160 108318 109992 128324 137490 144424 154740 160405 180530 183320 192486 216636 256648 270795 274980 309480 320810 361060 384972 433272 481215 541590 549960 641620 722120 769944 962430 1083180 1283240 1924860 2166360 3849720 11819557 23639114 35458671 47278228 59097785 70917342 82736899 94556456 118195570 141834684 165473798 177293355 236391140 248210697 283669368 330947596 354586710 413684495 472782280 496421394 661895192 709173420 827368990 992842788 1241053485 1418346840 1654737980 1985685576 2482106970 3309475960 4964213940 9928427880