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28900426900 = 225219234714071
BaseRepresentation
bin11010111010100110…
…011000010010010100
32202121010020210122111
4122322212120102110
5433142002130100
621135432240404
72042115401242
oct327246302224
982533223574
1028900426900
11112905a0534
125726840104
132957633827
1415823bb792
15b423296ba
hex6ba998494

28900426900 has 144 divisors (see below), whose sum is σ = 70355496960. Its totient is φ = 10251964800.

The previous prime is 28900426897. The next prime is 28900426909. The reversal of 28900426900 is 962400982.

It is a super-2 number, since 2×289004269002 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28900426909) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2046865 + ... + 2060935.

It is an arithmetic number, because the mean of its divisors is an integer number (488579840).

Almost surely, 228900426900 is an apocalyptic number.

28900426900 is a gapful number since it is divisible by the number (20) 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 28900426900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35177748480).

28900426900 is an abundant number, since it is smaller than the sum of its proper divisors (41455070060).

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

28900426900 is a wasteful number, since it uses less digits than its factorization.

28900426900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14174 (or 14167 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 40.

The spelling of 28900426900 in words is "twenty-eight billion, nine hundred million, four hundred twenty-six thousand, nine hundred".

Divisors: 1 2 4 5 10 19 20 23 25 38 46 47 50 76 92 94 95 100 115 188 190 230 235 380 437 460 470 475 575 874 893 940 950 1081 1150 1175 1748 1786 1900 2162 2185 2300 2350 3572 4324 4370 4465 4700 5405 8740 8930 10810 10925 14071 17860 20539 21620 21850 22325 27025 28142 41078 43700 44650 54050 56284 70355 82156 89300 102695 108100 140710 205390 267349 281420 323633 351775 410780 513475 534698 647266 661337 703550 1026950 1069396 1294532 1322674 1336745 1407100 1618165 2053900 2645348 2673490 3236330 3306685 5346980 6149027 6472660 6613370 6683725 8090825 12298054 12565403 13226740 13367450 15210751 16181650 16533425 24596108 25130806 26734900 30421502 30745135 32363300 33066850 50261612 60843004 61490270 62827015 66133700 76053755 122980540 125654030 152107510 153725675 251308060 289004269 304215020 307451350 314135075 380268775 578008538 614902700 628270150 760537550 1156017076 1256540300 1445021345 1521075100 2890042690 5780085380 7225106725 14450213450 28900426900