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2828804512 = 251937413067
BaseRepresentation
bin1010100010011100…
…0010000110100000
321022010220011021111
42220213002012200
521243133221022
61144411033104
7130046304322
oct25047020640
97263804244
102828804512
111221871776
1266b43b794
133610a4031
141cb9a1612
15118529477
hexa89c21a0

2828804512 has 96 divisors (see below), whose sum is σ = 6169625280. Its totient is φ = 1271531520.

The previous prime is 2828804509. The next prime is 2828804513. The reversal of 2828804512 is 2154088282.

It is a super-2 number, since 2×28288045122 = 16004269934223116288, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2828804513) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 920803 + ... + 923869.

It is an arithmetic number, because the mean of its divisors is an integer number (64266930).

Almost surely, 22828804512 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 2828804512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3084812640).

2828804512 is an abundant number, since it is smaller than the sum of its proper divisors (3340820768).

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

2828804512 is a wasteful number, since it uses less digits than its factorization.

2828804512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3174 (or 3166 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 40.

The square root of 2828804512 is about 53186.5068602931. The cubic root of 2828804512 is about 1414.2764574515.

The spelling of 2828804512 in words is "two billion, eight hundred twenty-eight million, eight hundred four thousand, five hundred twelve".

Divisors: 1 2 4 8 16 19 32 37 38 41 74 76 82 148 152 164 296 304 328 592 608 656 703 779 1184 1312 1406 1517 1558 2812 3034 3067 3116 5624 6068 6134 6232 11248 12136 12268 12464 22496 24272 24536 24928 28823 48544 49072 57646 58273 98144 113479 115292 116546 125747 226958 230584 233092 251494 453916 461168 466184 502988 907832 922336 932368 1005976 1815664 1864736 2011952 2156101 2389193 3631328 4023904 4312202 4652639 4778386 8624404 9305278 9556772 17248808 18610556 19113544 34497616 37221112 38227088 68995232 74442224 76454176 88400141 148884448 176800282 353600564 707201128 1414402256 2828804512