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28694922984 = 23327134379567
BaseRepresentation
bin11010101110010110…
…011100011011101000
32202001210120010021100
4122232112130123220
5432231400013414
621103211441400
72034041551410
oct325626343350
982053503240
1028694922984
1111195599392
125689a56260
132923ba0290
141562da5640
15b2e284609
hex6ae59c6e8

28694922984 has 96 divisors (see below), whose sum is σ = 95649765120. Its totient is φ = 7567890048.

The previous prime is 28694922979. The next prime is 28694922989. The reversal of 28694922984 is 48922949682.

28694922984 is a `hidden beast` number, since 2 + 8 + 69 + 492 + 2 + 9 + 84 = 666.

It is an interprime number because it is at equal distance from previous prime (28694922979) and next prime (28694922989).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (28694922989) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 2183232 + ... + 2196335.

It is an arithmetic number, because the mean of its divisors is an integer number (996351720).

Almost surely, 228694922984 is an apocalyptic number.

28694922984 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

28694922984 is an abundant number, since it is smaller than the sum of its proper divisors (66954842136).

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

28694922984 is a wasteful number, since it uses less digits than its factorization.

28694922984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4379599 (or 4379592 counting only the distinct ones).

The product of its digits is 35831808, while the sum is 63.

The spelling of 28694922984 in words is "twenty-eight billion, six hundred ninety-four million, nine hundred twenty-two thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 28 36 39 42 52 56 63 72 78 84 91 104 117 126 156 168 182 234 252 273 312 364 468 504 546 728 819 936 1092 1638 2184 3276 6552 4379567 8759134 13138701 17518268 26277402 30656969 35036536 39416103 52554804 56934371 61313938 78832206 91970907 105109608 113868742 122627876 157664412 170803113 183941814 227737484 245255752 275912721 315328824 341606226 367883628 398540597 455474968 512409339 551825442 683212452 735767256 797081194 1024818678 1103650884 1195621791 1366424904 1594162388 2049637356 2207301768 2391243582 3188324776 3586865373 4099274712 4782487164 7173730746 9564974328 14347461492 28694922984