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28271333376 = 21232111331173
BaseRepresentation
bin11010010101000110…
…100101000000000000
32200222021111112120100
4122111012211000000
5430344430132001
620553200442400
72020406240316
oct322506450000
980867445510
1028271333376
1110a98481230
125590019400
1328871bc740
141522a200b6
15b06eb1586
hex6951a5000

28271333376 has 624 divisors, whose sum is σ = 99606753792. Its totient is φ = 7608729600.

The previous prime is 28271333261. The next prime is 28271333393. The reversal of 28271333376 is 67333317282.

28271333376 is a `hidden beast` number, since 2 + 8 + 271 + 3 + 3 + 3 + 376 = 666.

It is a tau number, because it is divible by the number of its divisors (624).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 163418026 + ... + 163418198.

It is an arithmetic number, because the mean of its divisors is an integer number (159626208).

Almost surely, 228271333376 is an apocalyptic number.

28271333376 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 28271333376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49803376896).

28271333376 is an abundant number, since it is smaller than the sum of its proper divisors (71335420416).

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

28271333376 is a wasteful number, since it uses less digits than its factorization.

28271333376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 233 counting only the distinct ones).

The product of its digits is 762048, while the sum is 45.

The spelling of 28271333376 in words is "twenty-eight billion, two hundred seventy-one million, three hundred thirty-three thousand, three hundred seventy-six".