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28133173332 = 223211374740853
BaseRepresentation
bin11010001100110111…
…100010100001010100
32200121122112021121200
4122030313202201110
5430104043021312
620531343312500
72014111012335
oct321467424124
980548467550
1028133173332
1110a27496580
1255518ab730
1328646a7a34
14150c53828c
15ae9cc00dc
hex68cde2854

28133173332 has 144 divisors (see below), whose sum is σ = 81373324032. Its totient is φ = 8118109440.

The previous prime is 28133173297. The next prime is 28133173361. The reversal of 28133173332 is 23337133182.

28133173332 is a `hidden beast` number, since 2 + 8 + 1 + 3 + 317 + 3 + 332 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 668218 + ... + 709070.

It is an arithmetic number, because the mean of its divisors is an integer number (565092528).

Almost surely, 228133173332 is an apocalyptic number.

28133173332 is a gapful number since it is divisible by the number (22) 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 28133173332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40686662016).

28133173332 is an abundant number, since it is smaller than the sum of its proper divisors (53240150700).

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

28133173332 is a wasteful number, since it uses less digits than its factorization.

28133173332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40958 (or 40953 counting only the distinct ones).

The product of its digits is 54432, while the sum is 36.

The spelling of 28133173332 in words is "twenty-eight billion, one hundred thirty-three million, one hundred seventy-three thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 37 44 47 66 74 94 99 111 132 141 148 188 198 222 282 333 396 407 423 444 517 564 666 814 846 1034 1221 1332 1551 1628 1692 1739 2068 2442 3102 3478 3663 4653 4884 5217 6204 6956 7326 9306 10434 14652 15651 18612 19129 20868 31302 38258 40853 57387 62604 76516 81706 114774 122559 163412 172161 229548 245118 344322 367677 449383 490236 688644 735354 898766 1348149 1470708 1511561 1797532 1920091 2696298 3023122 3840182 4044447 4534683 5392596 5760273 6046244 7680364 8088894 9069366 11520546 13604049 16177788 16627171 17280819 18138732 21121001 23041092 27208098 33254342 34561638 42242002 49881513 54416196 63363003 66508684 69123276 71043367 84484004 99763026 126726006 142086734 149644539 190089009 199526052 213130101 253452012 284173468 299289078 380178018 426260202 598578156 639390303 760356036 781477037 852520404 1278780606 1562954074 2344431111 2557561212 3125908148 4688862222 7033293333 9377724444 14066586666 28133173332