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2828298330 = 233511131731139
BaseRepresentation
bin1010100010010100…
…0110100001011010
321022002221102221000
42220211012201122
521243021021310
61144352125430
7130042065504
oct25045064132
97262842830
102828298330
111221556440
1266b236876
13360c57810
141cb8acd74
151184794c0
hexa894685a

2828298330 has 512 divisors, whose sum is σ = 9754214400. Its totient is φ = 572313600.

The previous prime is 2828298329. The next prime is 2828298331. The reversal of 2828298330 is 338928282.

2828298330 is a `hidden beast` number, since 2 + 8 + 28 + 298 + 330 = 666.

It is an interprime number because it is at equal distance from previous prime (2828298329) and next prime (2828298331).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2828298331) by changing a digit.

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 255 ways as a sum of consecutive naturals, for example, 20347401 + ... + 20347539.

It is an arithmetic number, because the mean of its divisors is an integer number (19051200).

Almost surely, 22828298330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2828298330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4877107200).

2828298330 is an abundant number, since it is smaller than the sum of its proper divisors (6925916070).

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

2828298330 is a wasteful number, since it uses less digits than its factorization.

2828298330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 2828298330 is about 53181.7480908629. The cubic root of 2828298330 is about 1414.1920962562.

The spelling of 2828298330 in words is "two billion, eight hundred twenty-eight million, two hundred ninety-eight thousand, three hundred thirty".