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28292980000 = 25542948781
BaseRepresentation
bin11010010110011001…
…001001110100100000
32201000210020022011011
4122112121021310200
5430421000330000
620555252430304
72021061235105
oct322631116440
981023208134
1028292980000
1110aa97166aa
125597318394
13288b82b4ac
141525856aac
15b08d3a2ba
hex696649d20

28292980000 has 120 divisors (see below), whose sum is σ = 72006622380. Its totient is φ = 10926720000.

The previous prime is 28292979989. The next prime is 28292980007. The reversal of 28292980000 is 8929282.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 8272993936 + 20019986064 = 90956^2 + 141492^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (28292980007) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 555610 + ... + 604390.

Almost surely, 228292980000 is an apocalyptic number.

28292980000 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 28292980000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36003311190).

28292980000 is an abundant number, since it is smaller than the sum of its proper divisors (43713642380).

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

28292980000 is an equidigital number, since it uses as much as digits as its factorization.

28292980000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48840 (or 48817 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 40.

The spelling of 28292980000 in words is "twenty-eight billion, two hundred ninety-two million, nine hundred eighty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 29 32 40 50 58 80 100 116 125 145 160 200 232 250 290 400 464 500 580 625 725 800 928 1000 1160 1250 1450 2000 2320 2500 2900 3625 4000 4640 5000 5800 7250 10000 11600 14500 18125 20000 23200 29000 36250 48781 58000 72500 97562 116000 145000 195124 243905 290000 390248 487810 580000 780496 975620 1219525 1414649 1560992 1951240 2439050 2829298 3902480 4878100 5658596 6097625 7073245 7804960 9756200 11317192 12195250 14146490 19512400 22634384 24390500 28292980 30488125 35366225 39024800 45268768 48781000 56585960 60976250 70732450 97562000 113171920 121952500 141464900 176831125 195124000 226343840 243905000 282929800 353662250 487810000 565859600 707324500 884155625 975620000 1131719200 1414649000 1768311250 2829298000 3536622500 5658596000 7073245000 14146490000 28292980000