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2728660608 = 2735372371
BaseRepresentation
bin1010001010100100…
…0000111010000000
321001011110022200000
42202221000322000
521042014114413
61130432400000
7124422142512
oct24251007200
97034408600
102728660608
111180292113
126419a6000
1334640cb9b
141bc573bb2
1510e847073
hexa2a40e80

2728660608 has 192 divisors, whose sum is σ = 8366423520. Its totient is φ = 884597760.

The previous prime is 2728660549. The next prime is 2728660619. The reversal of 2728660608 is 8060668272.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1149663 + ... + 1152033.

Almost surely, 22728660608 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 2728660608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4183211760).

2728660608 is an abundant number, since it is smaller than the sum of its proper divisors (5637762912).

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

2728660608 is an equidigital number, since it uses as much as digits as its factorization.

2728660608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2437 (or 2413 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 2728660608 is about 52236.5830429212. The cubic root of 2728660608 is about 1397.3863836213.

The spelling of 2728660608 in words is "two billion, seven hundred twenty-eight million, six hundred sixty thousand, six hundred eight".