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28270068192 = 2532743132113
BaseRepresentation
bin11010010101000001…
…110000000111100000
32200222012010021001200
4122111001300013200
5430344114140232
620553113401200
72020362420612
oct322501600740
980865107050
1028270068192
1110a97797723
12558b709200
132886b68902
1415227b0db2
15b06d1177c
hex6950701e0

28270068192 has 72 divisors (see below), whose sum is σ = 80501816304. Its totient is φ = 9410601984.

The previous prime is 28270068109. The next prime is 28270068193. The reversal of 28270068192 is 29186007282.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28270068193) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 147928 + ... + 280040.

It is an arithmetic number, because the mean of its divisors is an integer number (1118080782).

Almost surely, 228270068192 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 28270068192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40250908152).

28270068192 is an abundant number, since it is smaller than the sum of its proper divisors (52231748112).

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

28270068192 is a wasteful number, since it uses less digits than its factorization.

28270068192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132872 (or 132861 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 28270068192 in words is "twenty-eight billion, two hundred seventy million, sixty-eight thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 743 1486 2229 2972 4458 5944 6687 8916 11888 13374 17832 23776 26748 35664 53496 71328 106992 132113 213984 264226 396339 528452 792678 1056904 1189017 1585356 2113808 2378034 3170712 4227616 4756068 6341424 9512136 12682848 19024272 38048544 98159959 196319918 294479877 392639836 588959754 785279672 883439631 1177919508 1570559344 1766879262 2355839016 3141118688 3533758524 4711678032 7067517048 9423356064 14135034096 28270068192