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28036040448 = 2831312722111
BaseRepresentation
bin11010000111000101…
…000000011100000000
32200100212202102100110
4122013011000130000
5424404211243243
620513553351320
72011521261153
oct320705003400
980325672313
1028036040448
1110987683169
125525268540
13284a529260
1414dd691c9a
15ae14d4e33
hex687140700

28036040448 has 144 divisors (see below), whose sum is σ = 80992894976. Its totient is φ = 8558161920.

The previous prime is 28036040443. The next prime is 28036040491. The reversal of 28036040448 is 84404063082.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28036040441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1256913 + ... + 1279023.

Almost surely, 228036040448 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 28036040448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40496447488).

28036040448 is an abundant number, since it is smaller than the sum of its proper divisors (52956854528).

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

28036040448 is a wasteful number, since it uses less digits than its factorization.

28036040448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22270 (or 22256 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 39.

The spelling of 28036040448 in words is "twenty-eight billion, thirty-six million, forty thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 127 128 156 192 208 254 256 312 381 384 416 508 624 762 768 832 1016 1248 1524 1651 1664 2032 2496 3048 3302 3328 4064 4953 4992 6096 6604 8128 9906 9984 12192 13208 16256 19812 22111 24384 26416 32512 39624 44222 48768 52832 66333 79248 88444 97536 105664 132666 158496 176888 211328 265332 287443 316992 353776 422656 530664 574886 633984 707552 862329 1061328 1149772 1267968 1415104 1724658 2122656 2299544 2808097 2830208 3449316 4245312 4599088 5616194 5660416 6898632 8424291 8490624 9198176 11232388 13797264 16848582 16981248 18396352 22464776 27594528 33697164 36505261 36792704 44929552 55189056 67394328 73010522 73585408 89859104 109515783 110378112 134788656 146021044 179718208 219031566 220756224 269577312 292042088 359436416 438063132 539154624 584084176 718872832 876126264 1078309248 1168168352 1752252528 2156618496 2336336704 3504505056 4672673408 7009010112 9345346816 14018020224 28036040448