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2828149368 = 23311232916061
BaseRepresentation
bin1010100010010010…
…0010001001111000
321022002122212120220
42220210202021320
521243001234433
61144345020040
7130040605302
oct25044421170
97262585526
102828149368
111221464530
1266b184620
13360c04a85
141cb870972
1511844a2b3
hexa8922278

2828149368 has 128 divisors (see below), whose sum is σ = 8326540800. Its totient is φ = 791436800.

The previous prime is 2828149327. The next prime is 2828149381. The reversal of 2828149368 is 8639418282.

It is a self number, because there is not a number n which added to its sum of digits gives 2828149368.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 168058 + ... + 184118.

It is an arithmetic number, because the mean of its divisors is an integer number (65051100).

Almost surely, 22828149368 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 2828149368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4163270400).

2828149368 is an abundant number, since it is smaller than the sum of its proper divisors (5498391432).

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

2828149368 is a wasteful number, since it uses less digits than its factorization.

2828149368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16133 (or 16129 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 51.

The square root of 2828149368 is about 53180.3475731402. The cubic root of 2828149368 is about 1414.1672680666.

The spelling of 2828149368 in words is "two billion, eight hundred twenty-eight million, one hundred forty-nine thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 22 23 24 29 33 44 46 58 66 69 87 88 92 116 132 138 174 184 232 253 264 276 319 348 506 552 638 667 696 759 957 1012 1276 1334 1518 1914 2001 2024 2552 2668 3036 3828 4002 5336 6072 7337 7656 8004 14674 16008 16061 22011 29348 32122 44022 48183 58696 64244 88044 96366 128488 176088 176671 192732 353342 369403 385464 465769 530013 706684 738806 931538 1060026 1108209 1397307 1413368 1477612 1863076 2120052 2216418 2794614 2955224 3726152 4063433 4240104 4432836 5123459 5589228 8126866 8865672 10246918 10712687 11178456 12190299 15370377 16253732 20493836 21425374 24380598 30740754 32138061 32507464 40987672 42850748 48761196 61481508 64276122 85701496 97522392 117839557 122963016 128552244 235679114 257104488 353518671 471358228 707037342 942716456 1414074684 2828149368