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28115240976 = 24328921572
BaseRepresentation
bin11010001011110011…
…001000100000010000
32200120101210020001100
4122023303020200100
5430040000202401
620525503104400
72013502414404
oct321363104020
980511706040
1028115240976
1110a18358749
1255478a2100
132860a69784
141509dcb104
15ae842bb86
hex68bcc8810

28115240976 has 135 divisors (see below), whose sum is σ = 80087737431. Its totient is φ = 9207424512.

The previous prime is 28115240957. The next prime is 28115240981. The reversal of 28115240976 is 67904251182.

The square root of 28115240976 is 167676.

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

28115240976 is a `hidden beast` number, since 28 + 1 + 152 + 409 + 76 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7558563600 + 20556677376 = 86940^2 + 143376^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 179077890 + ... + 179078046.

Almost surely, 228115240976 is an apocalyptic number.

28115240976 is the 167676-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28115240976

28115240976 is an abundant number, since it is smaller than the sum of its proper divisors (51972496455).

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

28115240976 is an equidigital number, since it uses as much as digits as its factorization.

28115240976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 28115240976 in words is "twenty-eight billion, one hundred fifteen million, two hundred forty thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 89 144 157 178 267 314 356 471 534 628 712 801 942 1068 1256 1413 1424 1602 1884 2136 2512 2826 3204 3768 4272 5652 6408 7536 7921 11304 12816 13973 15842 22608 23763 24649 27946 31684 41919 47526 49298 55892 63368 71289 73947 83838 95052 98596 111784 125757 126736 142578 147894 167676 190104 197192 221841 223568 251514 285156 295788 335352 380208 394384 443682 503028 570312 591576 670704 887364 1006056 1140624 1183152 1243597 1774728 2012112 2193761 2487194 3549456 3730791 4387522 4974388 6581283 7461582 8775044 9948776 11192373 13162566 14923164 17550088 19743849 19897552 22384746 26325132 29846328 35100176 39487698 44769492 52650264 59692656 78975396 89538984 105300528 157950792 179077968 195244729 315901584 390489458 585734187 780978916 1171468374 1561957832 1757202561 2342936748 3123915664 3514405122 4685873496 7028810244 9371746992 14057620488 28115240976