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428111802228 = 2231127314927107
BaseRepresentation
bin1100011101011010111…
…00111010111101110100
31111221000211212212222010
412032231130322331310
524003233110132403
6524401041404220
742634003164045
oct6165534727564
91457024785863
10428111802228
11155619a51500
126ab79939670
13314a8772846
1416a139368cc
15b209896603
hex63ad73af74

428111802228 has 144 divisors (see below), whose sum is σ = 1120547131200. Its totient is φ = 127090275840.

The previous prime is 428111802221. The next prime is 428111802229. The reversal of 428111802228 is 822208111824.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428111802221) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15779851 + ... + 15806957.

It is an arithmetic number, because the mean of its divisors is an integer number (7781577300).

Almost surely, 2428111802228 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 428111802228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560273565600).

428111802228 is an abundant number, since it is smaller than the sum of its proper divisors (692435328972).

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

428111802228 is a wasteful number, since it uses less digits than its factorization.

428111802228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27358 (or 27345 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 39.

The spelling of 428111802228 in words is "four hundred twenty-eight billion, one hundred eleven million, eight hundred two thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 73 121 132 146 149 219 242 292 298 363 438 447 484 596 726 803 876 894 1452 1606 1639 1788 2409 3212 3278 4818 4917 6556 8833 9636 9834 10877 17666 18029 19668 21754 26499 27107 32631 35332 36058 43508 52998 54087 54214 65262 72116 81321 105996 108174 108428 119647 130524 162642 216348 239294 298177 325284 358941 478588 596354 717882 894531 1192708 1316117 1435764 1789062 1978811 2632234 3279947 3578124 3948351 3957622 4038943 5264468 5936433 6559894 7896702 7915244 8077886 9839841 11872866 12116829 13119788 15793404 16155772 19679682 21766921 23745732 24233658 39359364 43533842 44428373 48467316 65300763 87067684 88856746 130601526 133285119 177713492 239436131 261203052 266570238 294842839 478872262 488712103 533140476 589685678 718308393 884528517 957744524 977424206 1179371356 1436616786 1466136309 1769057034 1954848412 2873233572 2932272618 3243271229 3538114068 5864545236 6486542458 9729813687 12973084916 19459627374 35675983519 38919254748 71351967038 107027950557 142703934076 214055901114 428111802228