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28273230072 = 23322982316453
BaseRepresentation
bin11010010101001101…
…110100000011111000
32200222102001220100100
4122111031310003320
5430400421330242
620553305235400
72020431330123
oct322515640370
980872056310
1028273230072
1110a9955724a
125590792b60
132887704b49
141522d953ba
15b0723854c
hex6953740f8

28273230072 has 96 divisors (see below), whose sum is σ = 79314861600. Its totient is φ = 9087821568.

The previous prime is 28273230059. The next prime is 28273230091. The reversal of 28273230072 is 27003237282.

28273230072 is a `hidden beast` number, since 282 + 7 + 3 + 2 + 300 + 72 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1710198 + ... + 1726650.

It is an arithmetic number, because the mean of its divisors is an integer number (826196475).

Almost surely, 228273230072 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 28273230072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39657430800).

28273230072 is an abundant number, since it is smaller than the sum of its proper divisors (51041631528).

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

28273230072 is a wasteful number, since it uses less digits than its factorization.

28273230072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17317 (or 17310 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The spelling of 28273230072 in words is "twenty-eight billion, two hundred seventy-three million, two hundred thirty thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 58 72 87 116 174 232 261 348 522 696 823 1044 1646 2088 2469 3292 4938 6584 7407 9876 14814 16453 19752 23867 29628 32906 47734 49359 59256 65812 71601 95468 98718 131624 143202 148077 190936 197436 214803 286404 296154 394872 429606 477137 572808 592308 859212 954274 1184616 1431411 1718424 1908548 2862822 3817096 4294233 5725644 8588466 11451288 13540819 17176932 27081638 34353864 40622457 54163276 81244914 108326552 121867371 162489828 243734742 324979656 392683751 487469484 785367502 974938968 1178051253 1570735004 2356102506 3141470008 3534153759 4712205012 7068307518 9424410024 14136615036 28273230072