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28280368116 = 2232711134119141
BaseRepresentation
bin11010010101101001…
…000010101111110100
32200222220111112220100
4122111221002233310
5430404233234431
620554122234100
72020546106550
oct322551025764
980886445810
1028280368116
1110aa2592160
125593055930
132889033b40
141523cd2860
15b07b984e6
hex695a42bf4

28280368116 has 288 divisors, whose sum is σ = 98328013056. Its totient is φ = 6614784000.

The previous prime is 28280368087. The next prime is 28280368117. The reversal of 28280368116 is 61186308282.

28280368116 is a `hidden beast` number, since 2 + 8 + 280 + 368 + 1 + 1 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28280368117) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1467906 + ... + 1487046.

It is an arithmetic number, because the mean of its divisors is an integer number (341416712).

Almost surely, 228280368116 is an apocalyptic number.

28280368116 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 28280368116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49164006528).

28280368116 is an abundant number, since it is smaller than the sum of its proper divisors (70047644940).

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

28280368116 is a wasteful number, since it uses less digits than its factorization.

28280368116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19223 (or 19218 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 28280368116 in words is "twenty-eight billion, two hundred eighty million, three hundred sixty-eight thousand, one hundred sixteen".