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28058823455364 = 2234132226372
BaseRepresentation
bin1100110000100111101000…
…01101000111001010000100
310200100101201122120001110000
412120103310031013022010
512134203432301032424
6135402013501001300
75624116542120432
oct630236415071204
9120311648501400
1028058823455364
118a38753391999
123191ba3253230
131286c21963a00
146d00a9007d52
15339d1b0e83c9
hex1984f4347284

28058823455364 has 135 divisors (see below), whose sum is σ = 79431255541407. Its totient is φ = 8633102751936.

The previous prime is 28058823455293. The next prime is 28058823455491. The reversal of 28058823455364 is 46355432885082.

The square root of 28058823455364 is 5297058.

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

28058823455364 is a `hidden beast` number, since 2 + 8 + 0 + 58 + 8 + 2 + 3 + 45 + 536 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9835487000964 + 18223336454400 = 3136158^2 + 4268880^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1239500254 + ... + 1239522890.

Almost surely, 228058823455364 is an apocalyptic number.

28058823455364 is the 5297058-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28058823455364

28058823455364 is an abundant number, since it is smaller than the sum of its proper divisors (51372432086043).

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

28058823455364 is an frugal number, since it uses more digits than its factorization.

28058823455364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45316 (or 22655 counting only the distinct ones).

The product of its (nonzero) digits is 221184000, while the sum is 63.

The spelling of 28058823455364 in words is "twenty-eight trillion, fifty-eight billion, eight hundred twenty-three million, four hundred fifty-five thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 117 156 162 169 234 324 338 351 468 507 676 702 1014 1053 1404 1521 2028 2106 3042 4212 4563 6084 9126 13689 18252 22637 27378 45274 54756 67911 90548 135822 203733 271644 294281 407466 588562 611199 814932 882843 1177124 1222398 1765686 1833597 2444796 2648529 3531372 3667194 3825653 5297058 7334388 7651306 7945587 10594116 11476959 15302612 15891174 22953918 23836761 31782348 34430877 45907836 47673522 68861754 95347044 103292631 137723508 206585262 309877893 413170524 512433769 619755786 1024867538 1239511572 1537301307 2049735076 3074602614 4611903921 6149205228 6661638997 9223807842 13323277994 13835711763 18447615684 19984916991 26646555988 27671423526 39969833982 41507135289 55342847052 59954750973 79939667964 83014270578 86601306961 119909501946 166028541156 173202613922 179864252919 239819003892 259803920883 346405227844 359728505838 519607841766 539592758757 719457011676 779411762649 1039215683532 1079185517514 1558823525298 2158371035028 2338235287947 3117647050596 4676470575894 7014705863841 9352941151788 14029411727682 28058823455364