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5428185280 = 265719712301
BaseRepresentation
bin1010000111000101…
…11000100011000000
3112000022002101100021
411003202320203000
542104103412110
62254344503224
7251341546030
oct50342704300
915008071307
105428185280
112336083a41
121075a7ab14
1368678b16b
14396cc18c0
1521b8362da
hex1438b88c0

5428185280 has 112 divisors (see below), whose sum is σ = 14848612416. Its totient is φ = 1851494400.

The previous prime is 5428185263. The next prime is 5428185317. The reversal of 5428185280 is 825818245.

It is a tau number, because it is divible by the number of its divisors (112).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 435130 + ... + 447430.

Almost surely, 25428185280 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 5428185280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7424306208).

5428185280 is an abundant number, since it is smaller than the sum of its proper divisors (9420427136).

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

5428185280 is a wasteful number, since it uses less digits than its factorization.

5428185280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12522 (or 12512 counting only the distinct ones).

The product of its (nonzero) digits is 204800, while the sum is 43.

The square root of 5428185280 is about 73676.2192298166. The cubic root of 5428185280 is about 1757.4577275960.

The spelling of 5428185280 in words is "five billion, four hundred twenty-eight million, one hundred eighty-five thousand, two hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 140 160 197 224 280 320 394 448 560 788 985 1120 1379 1576 1970 2240 2758 3152 3940 5516 6304 6895 7880 11032 12301 12608 13790 15760 22064 24602 27580 31520 44128 49204 55160 61505 63040 86107 88256 98408 110320 123010 172214 196816 220640 246020 344428 393632 430535 441280 492040 688856 787264 861070 984080 1377712 1722140 1968160 2423297 2755424 3444280 3936320 4846594 5510848 6888560 9693188 12116485 13777120 16963079 19386376 24232970 27554240 33926158 38772752 48465940 67852316 77545504 84815395 96931880 135704632 155091008 169630790 193863760 271409264 339261580 387727520 542818528 678523160 775455040 1085637056 1357046320 2714092640 5428185280