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28583374000 = 245383409421
BaseRepresentation
bin11010100111101100…
…111010110010110000
32201210000122211211111
4122213230322302300
5432014320432000
621044144523104
72031215445616
oct324754726260
981700584744
1028583374000
1111138629a45
125658620494
132906a44b6c
1415522496b6
15b2459ccba
hex6a7b3acb0

28583374000 has 160 divisors (see below), whose sum is σ = 70284876480. Its totient is φ = 11241216000.

The previous prime is 28583373991. The next prime is 28583374007. The reversal of 28583374000 is 47338582.

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 (28583374007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 67893790 + ... + 67894210.

It is an arithmetic number, because the mean of its divisors is an integer number (439280478).

Almost surely, 228583374000 is an apocalyptic number.

28583374000 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 28583374000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35142438240).

28583374000 is an abundant number, since it is smaller than the sum of its proper divisors (41701502480).

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

28583374000 is a wasteful number, since it uses less digits than its factorization.

28583374000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 936 (or 920 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 40.

The spelling of 28583374000 in words is "twenty-eight billion, five hundred eighty-three million, three hundred seventy-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 83 100 125 166 200 250 332 400 409 415 421 500 664 818 830 842 1000 1328 1636 1660 1684 2000 2045 2075 2105 3272 3320 3368 4090 4150 4210 6544 6640 6736 8180 8300 8420 10225 10375 10525 16360 16600 16840 20450 20750 21050 32720 33200 33680 33947 34943 40900 41500 42100 51125 52625 67894 69886 81800 83000 84200 102250 105250 135788 139772 163600 166000 168400 169735 172189 174715 204500 210500 271576 279544 339470 344378 349430 409000 421000 543152 559088 678940 688756 698860 818000 842000 848675 860945 873575 1357880 1377512 1397720 1697350 1721890 1747150 2715760 2755024 2795440 3394700 3443780 3494300 4243375 4304725 4367875 6789400 6887560 6988600 8486750 8609450 8735750 13578800 13775120 13977200 14291687 16973500 17218900 17471500 21523625 28583374 33947000 34437800 34943000 43047250 57166748 67894000 68875600 69886000 71458435 86094500 114333496 142916870 172189000 228666992 285833740 344378000 357292175 571667480 714584350 1143334960 1429168700 1786460875 2858337400 3572921750 5716674800 7145843500 14291687000 28583374000