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28776006 = 2337269283
BaseRepresentation
bin110110111000…
…1011001000110
32000010222021000
41231301121012
524331313011
62504434130
7466410030
oct155613106
960128230
1028776006
1115274926
129778946
135c66b2c
143b70c50
1527d6356
hex1b71646

28776006 has 64 divisors (see below), whose sum is σ = 73612800. Its totient is φ = 8162208.

The previous prime is 28776001. The next prime is 28776023. The reversal of 28776006 is 60067782.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28776001) 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 31 ways as a sum of consecutive naturals, for example, 101541 + ... + 101823.

It is an arithmetic number, because the mean of its divisors is an integer number (1150200).

Almost surely, 228776006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28776006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36806400).

28776006 is an abundant number, since it is smaller than the sum of its proper divisors (44836794).

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

28776006 is a wasteful number, since it uses less digits than its factorization.

28776006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570 (or 564 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 28776006 is about 5364.3271712303. The cubic root of 28776006 is about 306.4386251007.

The spelling of 28776006 in words is "twenty-eight million, seven hundred seventy-six thousand, six".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 269 283 378 538 566 807 849 1614 1698 1883 1981 2421 2547 3766 3962 4842 5094 5649 5943 7263 7641 11298 11886 14526 15282 16947 17829 33894 35658 50841 53487 76127 101682 106974 152254 228381 456762 532889 685143 1065778 1370286 1598667 2055429 3197334 4110858 4796001 9592002 14388003 28776006