Search a number
-
+
28901785392 = 2433439191693
BaseRepresentation
bin11010111010101011…
…100011111100110000
32202121012210211011000
4122322223203330300
5433142324113032
621135521322000
72042133056664
oct327253437460
982535724130
1028901785392
1111291339157
125727196300
1329579bac7c
1415826528a4
15b424e6e7c
hex6baae3f30

28901785392 has 160 divisors (see below), whose sum is σ = 85030668800. Its totient is φ = 9394092288.

The previous prime is 28901785387. The next prime is 28901785397. The reversal of 28901785392 is 29358710982.

28901785392 is a `hidden beast` number, since 2 + 8 + 90 + 17 + 8 + 539 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (28901785387) and next prime (28901785397).

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

It is not an unprimeable number, because it can be changed into a prime (28901785397) 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, 17070498 + ... + 17072190.

It is an arithmetic number, because the mean of its divisors is an integer number (531441680).

Almost surely, 228901785392 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 28901785392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42515334400).

28901785392 is an abundant number, since it is smaller than the sum of its proper divisors (56128883408).

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

28901785392 is a wasteful number, since it uses less digits than its factorization.

28901785392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2672 (or 2660 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 28901785392 in words is "twenty-eight billion, nine hundred one million, seven hundred eighty-five thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 43 48 54 72 86 108 129 144 172 216 258 344 387 432 516 688 774 919 1032 1161 1548 1693 1838 2064 2322 2757 3096 3386 3676 4644 5079 5514 6192 6772 7352 8271 9288 10158 11028 13544 14704 15237 16542 18576 20316 22056 24813 27088 30474 33084 39517 40632 44112 45711 49626 60948 66168 72799 79034 81264 91422 99252 118551 121896 132336 145598 158068 182844 198504 218397 237102 243792 291196 316136 355653 365688 397008 436794 474204 582392 632272 655191 711306 731376 873588 948408 1066959 1164784 1310382 1422612 1555867 1747176 1896816 1965573 2133918 2620764 2845224 3111734 3494352 3931146 4267836 4667601 5241528 5690448 6223468 7862292 8535672 9335202 10483056 12446936 14002803 15724584 17071344 18670404 24893872 28005606 31449168 37340808 42008409 56011212 66902281 74681616 84016818 112022424 133804562 168033636 200706843 224044848 267609124 336067272 401413686 535218248 602120529 672134544 802827372 1070436496 1204241058 1605654744 1806361587 2408482116 3211309488 3612723174 4816964232 7225446348 9633928464 14450892696 28901785392