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28114210368 = 2632411190473
BaseRepresentation
bin11010001011101111…
…001100111001000000
32200120022211212022200
4122023233030321000
5430034214212433
620525425033200
72013460562616
oct321357147100
980508755280
1028114210368
1110a17814402
125547485800
13286079864a
141509bdd6b6
15ae82c6613
hex68bbcce40

28114210368 has 84 divisors (see below), whose sum is σ = 82549848108. Its totient is φ = 9142824960.

The previous prime is 28114210363. The next prime is 28114210381. The reversal of 28114210368 is 86301241182.

28114210368 is a `hidden beast` number, since 2 + 81 + 1 + 4 + 210 + 368 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 11268247104 + 16845963264 = 106152^2 + 129792^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (28114210363) 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 11 ways as a sum of consecutive naturals, for example, 571621 + ... + 618852.

It is an arithmetic number, because the mean of its divisors is an integer number (982736287).

Almost surely, 228114210368 is an apocalyptic number.

It is an amenable number.

28114210368 is an abundant number, since it is smaller than the sum of its proper divisors (54435637740).

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

28114210368 is a wasteful number, since it uses less digits than its factorization.

28114210368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1190532 (or 1190519 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 28114210368 in words is "twenty-eight billion, one hundred fourteen million, two hundred ten thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 41 48 64 72 82 96 123 144 164 192 246 288 328 369 492 576 656 738 984 1312 1476 1968 2624 2952 3936 5904 7872 11808 23616 1190473 2380946 3571419 4761892 7142838 9523784 10714257 14285676 19047568 21428514 28571352 38095136 42857028 48809393 57142704 76190272 85714056 97618786 114285408 146428179 171428112 195237572 228570816 292856358 342856224 390475144 439284537 585712716 685712448 780950288 878569074 1171425432 1561900576 1757138148 2342850864 3123801152 3514276296 4685701728 7028552592 9371403456 14057105184 28114210368