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28004683716 = 223810332
BaseRepresentation
bin11010000101001101…
…011000111111000100
32200021200202100000000
4122011031120333010
5424323144334331
620510513321300
72010660612132
oct320515307704
980250670000
1028004683716
1110970a06409
125516866230
132843b9a889
1414d944c752
15add88e0e6
hex685358fc4

28004683716 has 81 divisors (see below), whose sum is σ = 73579789101. Its totient is φ = 9325857888.

The previous prime is 28004683709. The next prime is 28004683723. The reversal of 28004683716 is 61738640082.

The square root of 28004683716 is 167346.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (28004683709) and next prime (28004683723).

It can be written as a sum of positive squares in only one way, i.e., 27037224900 + 967458816 = 164430^2 + 31104^2 .

It is a tau number, because it is divible by the number of its divisors (81).

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 27109536 + ... + 27110568.

Almost surely, 228004683716 is an apocalyptic number.

28004683716 is the 167346-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28004683716

28004683716 is an abundant number, since it is smaller than the sum of its proper divisors (45575105385).

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

28004683716 is an frugal number, since it uses more digits than its factorization.

28004683716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2094 (or 1038 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 28004683716 in words is "twenty-eight billion, four million, six hundred eighty-three thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1033 1458 2066 2187 2916 3099 4132 4374 6198 6561 8748 9297 12396 13122 18594 26244 27891 37188 55782 83673 111564 167346 251019 334692 502038 753057 1004076 1067089 1506114 2134178 2259171 3012228 3201267 4268356 4518342 6402534 6777513 9036684 9603801 12805068 13555026 19207602 27110052 28811403 38415204 57622806 86434209 115245612 172868418 259302627 345736836 518605254 777907881 1037210508 1555815762 2333723643 3111631524 4667447286 7001170929 9334894572 14002341858 28004683716