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1028337268 = 227236126177
BaseRepresentation
bin111101010010110…
…010111001110100
32122122222221112111
4331102302321310
54101223243033
6250012500404
734324502560
oct7522627164
92578887474
101028337268
11488519012
1224847a704
1313507c3ba
149a8066a0
156042c7cd
hex3d4b2e74

1028337268 has 48 divisors (see below), whose sum is σ = 2181360384. Its totient is φ = 414627840.

The previous prime is 1028337253. The next prime is 1028337307. The reversal of 1028337268 is 8627338201.

It is a self number, because there is not a number n which added to its sum of digits gives 1028337268.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26196 + ... + 52372.

It is an arithmetic number, because the mean of its divisors is an integer number (45445008).

Almost surely, 21028337268 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 1028337268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1090680192).

1028337268 is an abundant number, since it is smaller than the sum of its proper divisors (1153023116).

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

1028337268 is a wasteful number, since it uses less digits than its factorization.

1028337268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26272 (or 26270 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 40.

The square root of 1028337268 is about 32067.6982023968. The cubic root of 1028337268 is about 1009.3579123180.

The spelling of 1028337268 in words is "one billion, twenty-eight million, three hundred thirty-seven thousand, two hundred sixty-eight".

Divisors: 1 2 4 7 14 23 28 46 61 92 122 161 244 322 427 644 854 1403 1708 2806 5612 9821 19642 26177 39284 52354 104708 183239 366478 602071 732956 1204142 1596797 2408284 3193594 4214497 6387188 8428994 11177579 16857988 22355158 36726331 44710316 73452662 146905324 257084317 514168634 1028337268