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2728885608 = 2332314328433
BaseRepresentation
bin1010001010100111…
…0111110101101000
321001011212202022100
42202221313311220
521042043314413
61130441253400
7124424100501
oct24251676550
97034782270
102728885608
111180426169
12641a94260
1334648b417
141bc5d1ba8
1510e88da73
hexa2a77d68

2728885608 has 96 divisors (see below), whose sum is σ = 7806839040. Its totient is φ = 859783680.

The previous prime is 2728885603. The next prime is 2728885613. The reversal of 2728885608 is 8065888272.

2728885608 is a `hidden beast` number, since 2 + 7 + 28 + 8 + 8 + 5 + 608 = 666.

It is an interprime number because it is at equal distance from previous prime (2728885603) and next prime (2728885613).

It is not an unprimeable number, because it can be changed into a prime (2728885603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 81760 + ... + 110192.

It is an arithmetic number, because the mean of its divisors is an integer number (81321240).

Almost surely, 22728885608 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 2728885608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3903419520).

2728885608 is an abundant number, since it is smaller than the sum of its proper divisors (5077953432).

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

2728885608 is a wasteful number, since it uses less digits than its factorization.

2728885608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28519 (or 28512 counting only the distinct ones).

The product of its (nonzero) digits is 3440640, while the sum is 54.

The square root of 2728885608 is about 52238.7366616001. The cubic root of 2728885608 is about 1397.4247911455.

It can be divided in two parts, 27288 and 85608, that added together give a square (112896 = 3362).

The spelling of 2728885608 in words is "two billion, seven hundred twenty-eight million, eight hundred eighty-five thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 43 62 72 86 93 124 129 172 186 248 258 279 344 372 387 516 558 744 774 1032 1116 1333 1548 2232 2666 3096 3999 5332 7998 10664 11997 15996 23994 28433 31992 47988 56866 85299 95976 113732 170598 227464 255897 341196 511794 682392 881423 1023588 1222619 1762846 2047176 2445238 2644269 3525692 3667857 4890476 5288538 7051384 7335714 7932807 9780952 10577076 11003571 14671428 15865614 21154152 22007142 29342856 31731228 37901189 44014284 63462456 75802378 88028568 113703567 151604756 227407134 303209512 341110701 454814268 682221402 909628536 1364442804 2728885608