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28042368 = 273103709
BaseRepresentation
bin110101011111…
…0010010000000
31221202200220020
41222332102000
524134323433
62441013440
7460233114
oct152762200
957680806
1028042368
1114913712
129484280
135a6ac23
143a1d744
1526ddcb3
hex1abe480

28042368 has 64 divisors (see below), whose sum is σ = 75316800. Its totient is φ = 9243648.

The previous prime is 28042363. The next prime is 28042369. The reversal of 28042368 is 86324082.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (28042363) 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 7 ways as a sum of consecutive naturals, for example, 39198 + ... + 39906.

It is an arithmetic number, because the mean of its divisors is an integer number (1176825).

Almost surely, 228042368 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 28042368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37658400).

28042368 is an abundant number, since it is smaller than the sum of its proper divisors (47274432).

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

28042368 is a wasteful number, since it uses less digits than its factorization.

28042368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 829 (or 817 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 28042368 is about 5295.5045085431. The cubic root of 28042368 is about 303.8119797653.

The spelling of 28042368 in words is "twenty-eight million, forty-two thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 103 128 192 206 309 384 412 618 709 824 1236 1418 1648 2127 2472 2836 3296 4254 4944 5672 6592 8508 9888 11344 13184 17016 19776 22688 34032 39552 45376 68064 73027 90752 136128 146054 219081 272256 292108 438162 584216 876324 1168432 1752648 2336864 3505296 4673728 7010592 9347456 14021184 28042368