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28963182144 = 263132892603
BaseRepresentation
bin11010111110010101…
…110001011001000000
32202202111100002122210
4122332111301121000
5433304033312034
621145553302120
72043506662161
oct327625613100
982674302583
1028963182144
1111312a63476
125743864940
132967636900
14158a875768
15b47ac38e9
hex6be571640

28963182144 has 84 divisors (see below), whose sum is σ = 82980038256. Its totient is φ = 8911738368.

The previous prime is 28963182077. The next prime is 28963182203. The reversal of 28963182144 is 44128136982.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 28963182093 and 28963182102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 413854 + ... + 478749.

Almost surely, 228963182144 is an apocalyptic number.

28963182144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

28963182144 is an abundant number, since it is smaller than the sum of its proper divisors (54016856112).

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

28963182144 is a wasteful number, since it uses less digits than its factorization.

28963182144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 892644 (or 892621 counting only the distinct ones).

The product of its digits is 663552, while the sum is 48.

The spelling of 28963182144 in words is "twenty-eight billion, nine hundred sixty-three million, one hundred eighty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 169 192 208 312 338 416 507 624 676 832 1014 1248 1352 2028 2496 2704 4056 5408 8112 10816 16224 32448 892603 1785206 2677809 3570412 5355618 7140824 10711236 11603839 14281648 21422472 23207678 28563296 34811517 42844944 46415356 57126592 69623034 85689888 92830712 139246068 150849907 171379776 185661424 278492136 301699814 371322848 452549721 556984272 603399628 742645696 905099442 1113968544 1206799256 1810198884 2227937088 2413598512 3620397768 4827197024 7240795536 9654394048 14481591072 28963182144