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28730992464 = 2433471579013
BaseRepresentation
bin11010110000100000…
…000010011101010000
32202011022102122022000
4122300200002131100
5432320113224324
621110540514000
72034660256266
oct326040023520
982138378260
1028730992464
1111203994979
125699b4b900
13292b4bba75
141567ab4436
15b3250b9c9
hex6b0802750

28730992464 has 160 divisors (see below), whose sum is σ = 84769098240. Its totient is φ = 9312496128.

The previous prime is 28730992439. The next prime is 28730992469. The reversal of 28730992464 is 46429903782.

28730992464 is a `hidden beast` number, since 28 + 73 + 0 + 9 + 92 + 464 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 28730992464.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28730992469) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3183222 + ... + 3192234.

It is an arithmetic number, because the mean of its divisors is an integer number (529806864).

Almost surely, 228730992464 is an apocalyptic number.

28730992464 is a gapful number since it is divisible by the number (24) 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 28730992464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42384549120).

28730992464 is an abundant number, since it is smaller than the sum of its proper divisors (56038105776).

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

28730992464 is a wasteful number, since it uses less digits than its factorization.

28730992464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9234 (or 9222 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 28730992464 in words is "twenty-eight billion, seven hundred thirty million, nine hundred ninety-two thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 47 48 54 72 94 108 141 144 157 188 216 282 314 376 423 432 471 564 628 752 846 942 1128 1256 1269 1413 1692 1884 2256 2512 2538 2826 3384 3768 4239 5076 5652 6768 7379 7536 8478 9013 10152 11304 14758 16956 18026 20304 22137 22608 27039 29516 33912 36052 44274 54078 59032 66411 67824 72104 81117 88548 108156 118064 132822 144208 162234 177096 199233 216312 243351 265644 324468 354192 398466 423611 432624 486702 531288 648936 796932 847222 973404 1062576 1270833 1297872 1415041 1593864 1694444 1946808 2541666 2830082 3187728 3388888 3812499 3893616 4245123 5083332 5660164 6777776 7624998 8490246 10166664 11320328 11437497 12735369 15249996 16980492 20333328 22640656 22874994 25470738 30499992 33960984 38206107 45749988 50941476 60999984 66506927 67921968 76412214 91499976 101882952 133013854 152824428 182999952 199520781 203765904 266027708 305648856 399041562 532055416 598562343 611297712 798083124 1064110832 1197124686 1596166248 1795687029 2394249372 3192332496 3591374058 4788498744 7182748116 9576997488 14365496232 28730992464