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28661460 = 22354161191
BaseRepresentation
bin110110101010…
…1011011010100
31222221011010120
41231111123110
524314131320
62502151540
7465422052
oct155253324
958834116
1028661460
11151a6863
1297225b0
135c26959
143b411d2
1527b2440
hex1b556d4

28661460 has 96 divisors (see below), whose sum is σ = 83994624. Its totient is φ = 7296000.

The previous prime is 28661459. The next prime is 28661489. The reversal of 28661460 is 6416682.

It is a happy number.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

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, 149965 + ... + 150155.

It is an arithmetic number, because the mean of its divisors is an integer number (874944).

Almost surely, 228661460 is an apocalyptic number.

28661460 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 28661460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41997312).

28661460 is an abundant number, since it is smaller than the sum of its proper divisors (55333164).

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

28661460 is a wasteful number, since it uses less digits than its factorization.

28661460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 28661460 is about 5353.6398832944. The cubic root of 28661460 is about 306.0314803787.

The spelling of 28661460 in words is "twenty-eight million, six hundred sixty-one thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 41 60 61 82 122 123 164 183 191 205 244 246 305 366 382 410 492 573 610 615 732 764 820 915 955 1146 1220 1230 1830 1910 2292 2460 2501 2865 3660 3820 5002 5730 7503 7831 10004 11460 11651 12505 15006 15662 23302 23493 25010 30012 31324 34953 37515 39155 46604 46986 50020 58255 69906 75030 78310 93972 116510 117465 139812 150060 156620 174765 233020 234930 349530 469860 477691 699060 955382 1433073 1910764 2388455 2866146 4776910 5732292 7165365 9553820 14330730 28661460