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28120376336 = 24136110920333
BaseRepresentation
bin11010001100000110…
…101110010000010000
32200120202110010102212
4122030012232100100
5430042304020321
620530205131252
72013564153323
oct321406562020
980522403385
1028120376336
1110a20245a48
125549559b28
132861b47050
14150a9667ba
15ae8ae355b
hex68c1ae410

28120376336 has 80 divisors (see below), whose sum is σ = 60186199920. Its totient is φ = 12648130560.

The previous prime is 28120376309. The next prime is 28120376341. The reversal of 28120376336 is 63367302182.

It can be written as a sum of positive squares in 8 ways, for example, as 251412736 + 27868963600 = 15856^2 + 166940^2 .

It is a junction number, because it is equal to n+sod(n) for n = 28120376293 and 28120376302.

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, 1372826 + ... + 1393158.

It is an arithmetic number, because the mean of its divisors is an integer number (752327499).

Almost surely, 228120376336 is an apocalyptic number.

28120376336 is a gapful number since it is divisible by the number (26) 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 28120376336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30093099960).

28120376336 is an abundant number, since it is smaller than the sum of its proper divisors (32065823584).

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

28120376336 is a wasteful number, since it uses less digits than its factorization.

28120376336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20524 (or 20518 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 41.

The spelling of 28120376336 in words is "twenty-eight billion, one hundred twenty million, three hundred seventy-six thousand, three hundred thirty-six".

Divisors: 1 2 4 8 13 16 26 52 61 104 109 122 208 218 244 436 488 793 872 976 1417 1586 1744 2834 3172 5668 6344 6649 11336 12688 13298 20333 22672 26596 40666 53192 81332 86437 106384 162664 172874 264329 325328 345748 528658 691496 1057316 1240313 1382992 2114632 2216297 2480626 4229264 4432594 4961252 8865188 9922504 16124069 17730376 19845008 28811861 32248138 35460752 57623722 64496276 115247444 128992552 135194117 230494888 257985104 270388234 460989776 540776468 1081552936 1757523521 2163105872 3515047042 7030094084 14060188168 28120376336