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28007490960 = 2433512966431
BaseRepresentation
bin11010000101011000…
…000110010110010000
32200021220000221211000
4122011120012112100
5424324404202320
620511053422000
72011023513411
oct320530062620
980256027730
1028007490960
1110972553549
12551779a900
132844641577
1414d997d808
15addc45c90
hex685606590

28007490960 has 80 divisors (see below), whose sum is σ = 96470254080. Its totient is φ = 7468663680.

The previous prime is 28007490923. The next prime is 28007490989. The reversal of 28007490960 is 6909470082.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 15 ways as a sum of consecutive naturals, for example, 6481056 + ... + 6485375.

It is an arithmetic number, because the mean of its divisors is an integer number (1205878176).

Almost surely, 228007490960 is an apocalyptic number.

28007490960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

28007490960 is an abundant number, since it is smaller than the sum of its proper divisors (68462763120).

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

28007490960 is a wasteful number, since it uses less digits than its factorization.

28007490960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12966453 (or 12966441 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 28007490960 in words is "twenty-eight billion, seven million, four hundred ninety thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 12966431 25932862 38899293 51865724 64832155 77798586 103731448 116697879 129664310 155597172 194496465 207462896 233395758 259328620 311194344 350093637 388992930 466791516 518657240 583489395 622388688 700187274 777985860 933583032 1037314480 1166978790 1400374548 1555971720 1750468185 1867166064 2333957580 2800749096 3111943440 3500936370 4667915160 5601498192 7001872740 9335830320 14003745480 28007490960