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28768230 = 2335472267
BaseRepresentation
bin110110110111…
…1011111100110
32000010120121000
41231233133212
524331040410
62504334130
7466345251
oct155573746
960116530
1028768230
1115269aa7
129774346
135c6342a
143b6c098
1527d3dc0
hex1b6f7e6

28768230 has 64 divisors (see below), whose sum is σ = 78382080. Its totient is φ = 7504992.

The previous prime is 28768213. The next prime is 28768249. The reversal of 28768230 is 3286782.

It is a happy number.

It is a super-2 number, since 2×287682302 = 1655222114665800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11557 + ... + 13823.

It is an arithmetic number, because the mean of its divisors is an integer number (1224720).

Almost surely, 228768230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28768230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39191040).

28768230 is an abundant number, since it is smaller than the sum of its proper divisors (49613850).

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

28768230 is a wasteful number, since it uses less digits than its factorization.

28768230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2330 (or 2324 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 28768230 is about 5363.6023342526. The cubic root of 28768230 is about 306.4110201414.

The spelling of 28768230 in words is "twenty-eight million, seven hundred sixty-eight thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 47 54 90 94 135 141 235 270 282 423 470 705 846 1269 1410 2115 2267 2538 4230 4534 6345 6801 11335 12690 13602 20403 22670 34005 40806 61209 68010 102015 106549 122418 204030 213098 306045 319647 532745 612090 639294 958941 1065490 1598235 1917882 2876823 3196470 4794705 5753646 9589410 14384115 28768230