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28506210048 = 283215181937
BaseRepresentation
bin11010100011000110…
…100011111100000000
32201120122110111210100
4122203012203330000
5431340042210143
621032351002400
72026260534051
oct324306437400
981518414710
1028506210048
11110a9015588
125636809400
1328c3a68614
141545cc0728
15b1c9096d3
hex6a31a3f00

28506210048 has 108 divisors (see below), whose sum is σ = 82735748368. Its totient is φ = 9439027200.

The previous prime is 28506210041. The next prime is 28506210071. The reversal of 28506210048 is 84001260582.

28506210048 is a `hidden beast` number, since 2 + 8 + 506 + 2 + 100 + 48 = 666.

It is a super-2 number, since 2×285062100482 (a number of 22 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 28506209994 and 28506210021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28506210041) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 306936 + ... + 388872.

Almost surely, 228506210048 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 28506210048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41367874184).

28506210048 is an abundant number, since it is smaller than the sum of its proper divisors (54229538320).

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

28506210048 is a wasteful number, since it uses less digits than its factorization.

28506210048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82110 (or 82093 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 28506210048 in words is "twenty-eight billion, five hundred six million, two hundred ten thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 151 192 256 288 302 384 453 576 604 768 906 1152 1208 1359 1812 2304 2416 2718 3624 4832 5436 7248 9664 10872 14496 19328 21744 28992 38656 43488 57984 81937 86976 115968 163874 173952 245811 327748 347904 491622 655496 737433 983244 1310992 1474866 1966488 2621984 2949732 3932976 5243968 5899464 7865952 10487936 11798928 12372487 15731904 20975872 23597856 24744974 31463808 37117461 47195712 49489948 62927616 74234922 94391424 98979896 111352383 148469844 188782848 197959792 222704766 296939688 395919584 445409532 593879376 791839168 890819064 1187758752 1583678336 1781638128 2375517504 3167356672 3563276256 4751035008 7126552512 9502070016 14253105024 28506210048