Search a number
-
+
28164484608 = 293138811601
BaseRepresentation
bin11010001110101110…
…111110111000000000
32200200211110001121120
4122032232332320000
5430140102001413
620534422352240
72014641112011
oct321656767000
980624401546
1028164484608
1110a43132167
12556028b680
13286b01b810
141512769008
15aec907723
hex68ebbee00

28164484608 has 160 divisors (see below), whose sum is σ = 80945881632. Its totient is φ = 8650752000.

The previous prime is 28164484573. The next prime is 28164484631. The reversal of 28164484608 is 80648446182.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17591008 + ... + 17592608.

Almost surely, 228164484608 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 28164484608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40472940816).

28164484608 is an abundant number, since it is smaller than the sum of its proper divisors (52781397024).

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

28164484608 is a wasteful number, since it uses less digits than its factorization.

28164484608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2516 (or 2500 counting only the distinct ones).

The product of its (nonzero) digits is 2359296, while the sum is 51.

The spelling of 28164484608 in words is "twenty-eight billion, one hundred sixty-four million, four hundred eighty-four thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 256 312 384 416 512 624 768 832 881 1248 1536 1601 1664 1762 2496 2643 3202 3328 3524 4803 4992 5286 6404 6656 7048 9606 9984 10572 11453 12808 14096 19212 19968 20813 21144 22906 25616 28192 34359 38424 41626 42288 45812 51232 56384 62439 68718 76848 83252 84576 91624 102464 112768 124878 137436 153696 166504 169152 183248 204928 225536 249756 274872 307392 333008 338304 366496 409856 451072 499512 549744 614784 666016 676608 732992 819712 999024 1099488 1229568 1332032 1353216 1410481 1465984 1998048 2198976 2459136 2664064 2820962 2931968 3996096 4231443 4397952 5328128 5641924 5863936 7992192 8462886 8795904 10656256 11283848 15984384 16925772 17591808 18336253 22567696 31968768 33851544 36672506 45135392 55008759 67703088 73345012 90270784 110017518 135406176 146690024 180541568 220035036 270812352 293380048 361083136 440070072 541624704 586760096 722166272 880140144 1083249408 1173520192 1760280288 2166498816 2347040384 3520560576 4694080768 7041121152 9388161536 14082242304 28164484608