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28663700 = 225213171297
BaseRepresentation
bin110110101010…
…1111110010100
31222221021012112
41231111332110
524314214300
62502210152
7465431432
oct155257624
958837175
1028663700
11151a850a
129723958
135c27990
143b41d52
1527b2e35
hex1b55f94

28663700 has 72 divisors (see below), whose sum is σ = 70979832. Its totient is φ = 9953280.

The previous prime is 28663673. The next prime is 28663709. The reversal of 28663700 is 736682.

It can be written as a sum of positive squares in 12 ways, for example, as 1331716 + 27331984 = 1154^2 + 5228^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28663709) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21452 + ... + 22748.

It is an arithmetic number, because the mean of its divisors is an integer number (985831).

Almost surely, 228663700 is an apocalyptic number.

28663700 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28663700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35489916).

28663700 is an abundant number, since it is smaller than the sum of its proper divisors (42316132).

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

28663700 is a wasteful number, since it uses less digits than its factorization.

28663700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1341 (or 1334 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 32.

The square root of 28663700 is about 5353.8490826694. The cubic root of 28663700 is about 306.0394526715.

The spelling of 28663700 in words is "twenty-eight million, six hundred sixty-three thousand, seven hundred".

Divisors: 1 2 4 5 10 13 17 20 25 26 34 50 52 65 68 85 100 130 170 221 260 325 340 425 442 650 850 884 1105 1297 1300 1700 2210 2594 4420 5188 5525 6485 11050 12970 16861 22049 22100 25940 32425 33722 44098 64850 67444 84305 88196 110245 129700 168610 220490 286637 337220 421525 440980 551225 573274 843050 1102450 1146548 1433185 1686100 2204900 2866370 5732740 7165925 14331850 28663700