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28344133760 = 27549190199
BaseRepresentation
bin11010011001011100…
…010010100010000000
32201011100111011220212
4122121130102202000
5431022044240020
621004321053252
72022252106325
oct323134224200
981140434825
1028344133760
1111025585238
1255b0487228
1328992cbaa7
14152c570b4c
15b0d591cc5
hex699712880

28344133760 has 64 divisors (see below), whose sum is σ = 67898952000. Its totient is φ = 11314437120.

The previous prime is 28344133717. The next prime is 28344133787. The reversal of 28344133760 is 6733144382.

It is a tau number, because it is divible by the number of its divisors (64).

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 7 ways as a sum of consecutive naturals, for example, 269141 + ... + 359339.

It is an arithmetic number, because the mean of its divisors is an integer number (1060921125).

Almost surely, 228344133760 is an apocalyptic number.

28344133760 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28344133760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33949476000).

28344133760 is an abundant number, since it is smaller than the sum of its proper divisors (39554818240).

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

28344133760 is an equidigital number, since it uses as much as digits as its factorization.

28344133760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90709 (or 90697 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 41.

The spelling of 28344133760 in words is "twenty-eight billion, three hundred forty-four million, one hundred thirty-three thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 491 640 982 1964 2455 3928 4910 7856 9820 15712 19640 31424 39280 62848 78560 90199 157120 180398 314240 360796 450995 721592 901990 1443184 1803980 2886368 3607960 5772736 7215920 11545472 14431840 28863680 44287709 57727360 88575418 177150836 221438545 354301672 442877090 708603344 885754180 1417206688 1771508360 2834413376 3543016720 5668826752 7086033440 14172066880 28344133760