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28630435095 = 3351941614463
BaseRepresentation
bin11010101010100000…
…011100010100010111
32201220022012210112000
4122222200130110113
5432113342410340
621052545330343
72032326453153
oct325240342427
981808183460
1028630435095
1111162152709
1256703369b3
132913711672
1415585ba063
15b28796d30
hex6aa81c517

28630435095 has 128 divisors (see below), whose sum is σ = 55796428800. Its totient is φ = 13878604800.

The previous prime is 28630435087. The next prime is 28630435103. The reversal of 28630435095 is 59053403682.

28630435095 is a `hidden beast` number, since 2 + 8 + 630 + 4 + 3 + 5 + 0 + 9 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (28630435087) and next prime (28630435103).

It is not a de Polignac number, because 28630435095 - 23 = 28630435087 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 28630435095.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6412834 + ... + 6417296.

It is an arithmetic number, because the mean of its divisors is an integer number (435909600).

Almost surely, 228630435095 is an apocalyptic number.

28630435095 is a deficient number, since it is larger than the sum of its proper divisors (27165993705).

28630435095 is a wasteful number, since it uses less digits than its factorization.

28630435095 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4598 (or 4592 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 28630435095 in words is "twenty-eight billion, six hundred thirty million, four hundred thirty-five thousand, ninety-five".

Divisors: 1 3 5 9 15 19 27 41 45 57 61 95 123 135 171 183 205 285 305 369 513 549 615 779 855 915 1107 1159 1647 1845 2337 2501 2565 2745 3477 3895 4463 5535 5795 7011 7503 8235 10431 11685 12505 13389 17385 21033 22315 22509 31293 35055 37515 40167 47519 52155 66945 67527 84797 105165 112545 120501 142557 156465 182983 200835 237595 254391 272243 337635 423985 427671 548949 602505 712785 763173 816729 914915 1271955 1283013 1361215 1646847 2138355 2289519 2450187 2744745 3476677 3815865 4083645 4940541 5172617 6415065 7350561 8234235 10430031 11161963 11447595 12250935 15517851 17383385 24702705 25863085 31290093 33485889 36752805 46553553 52150155 55809815 77589255 93870279 100457667 139660659 156450465 167429445 212077297 232767765 301373001 469351395 502288335 636231891 698303295 1060386485 1506865005 1908695673 3181159455 5726087019 9543478365 28630435095