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28900680 = 23351731457
BaseRepresentation
bin110111000111…
…1110101001000
32000101022021120
41232033311020
524344310210
62511235240
7500436354
oct156176510
960338246
1028900680
111534a566
129818b20
135cab7c3
143ba4464
15280d270
hex1b8fd48

28900680 has 128 divisors (see below), whose sum is σ = 94970880. Its totient is φ = 7004160.

The previous prime is 28900679. The next prime is 28900681. The reversal of 28900680 is 8600982.

It is an interprime number because it is at equal distance from previous prime (28900679) and next prime (28900681).

It is not an unprimeable number, because it can be changed into a prime (28900681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63012 + ... + 63468.

It is an arithmetic number, because the mean of its divisors is an integer number (741960).

Almost surely, 228900680 is an apocalyptic number.

28900680 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 28900680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47485440).

28900680 is an abundant number, since it is smaller than the sum of its proper divisors (66070200).

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

28900680 is a wasteful number, since it uses less digits than its factorization.

28900680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 519 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 28900680 is about 5375.9352674674. The cubic root of 28900680 is about 306.8805428847.

The spelling of 28900680 in words is "twenty-eight million, nine hundred thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 31 34 40 51 60 62 68 85 93 102 120 124 136 155 170 186 204 248 255 310 340 372 408 457 465 510 527 620 680 744 914 930 1020 1054 1240 1371 1581 1828 1860 2040 2108 2285 2635 2742 3162 3656 3720 4216 4570 5270 5484 6324 6855 7769 7905 9140 10540 10968 12648 13710 14167 15538 15810 18280 21080 23307 27420 28334 31076 31620 38845 42501 46614 54840 56668 62152 63240 70835 77690 85002 93228 113336 116535 141670 155380 170004 186456 212505 233070 240839 283340 310760 340008 425010 466140 481678 566680 722517 850020 932280 963356 1204195 1445034 1700040 1926712 2408390 2890068 3612585 4816780 5780136 7225170 9633560 14450340 28900680