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28325847096 = 2335137106357
BaseRepresentation
bin11010011000010110…
…100010000000111000
32201010002002010100000
4122120112202000320
5431002404101341
621002425113000
72021640504411
oct323026420070
981102063300
1028325847096
1111016225198
1255a6328760
132895598491
141529d70808
15b0bb7d8b6
hex6985a2038

28325847096 has 96 divisors (see below), whose sum is σ = 80138625840. Its totient is φ = 9372941568.

The previous prime is 28325847061. The next prime is 28325847269. The reversal of 28325847096 is 69074852382.

28325847096 is a `hidden beast` number, since 2 + 8 + 32 + 58 + 470 + 96 = 666.

It is a super-2 number, since 2×283258470962 (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 213150 + ... + 319506.

Almost surely, 228325847096 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 28325847096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40069312920).

28325847096 is an abundant number, since it is smaller than the sum of its proper divisors (51812778744).

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

28325847096 is a wasteful number, since it uses less digits than its factorization.

28325847096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106515 (or 106499 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 28325847096 in words is "twenty-eight billion, three hundred twenty-five million, eight hundred forty-seven thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 137 162 216 243 274 324 411 486 548 648 822 972 1096 1233 1644 1944 2466 3288 3699 4932 7398 9864 11097 14796 22194 29592 33291 44388 66582 88776 106357 133164 212714 266328 319071 425428 638142 850856 957213 1276284 1914426 2552568 2871639 3828852 5743278 7657704 8614917 11486556 14570909 17229834 22973112 25844751 29141818 34459668 43712727 51689502 58283636 68919336 87425454 103379004 116567272 131138181 174850908 206758008 262276362 349701816 393414543 524552724 786829086 1049105448 1180243629 1573658172 2360487258 3147316344 3540730887 4720974516 7081461774 9441949032 14162923548 28325847096