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28675680 = 2535115431
BaseRepresentation
bin110110101100…
…0111001100000
31222221212122020
41231120321200
524320110210
62502341440
7465511365
oct155307140
958855566
1028675680
1115206510
12972a880
135c30277
143b4646c
1527b6770
hex1b58e60

28675680 has 96 divisors (see below), whose sum is σ = 98558208. Its totient is φ = 6950400.

The previous prime is 28675663. The next prime is 28675697. The reversal of 28675680 is 8657682.

It is an interprime number because it is at equal distance from previous prime (28675663) and next prime (28675697).

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2565 + ... + 7995.

It is an arithmetic number, because the mean of its divisors is an integer number (1026648).

Almost surely, 228675680 is an apocalyptic number.

28675680 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 28675680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49279104).

28675680 is an abundant number, since it is smaller than the sum of its proper divisors (69882528).

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

28675680 is a wasteful number, since it uses less digits than its factorization.

28675680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5460 (or 5452 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The square root of 28675680 is about 5354.9677870180. The cubic root of 28675680 is about 306.0820831528.

The spelling of 28675680 in words is "twenty-eight million, six hundred seventy-five thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 66 80 88 96 110 120 132 160 165 176 220 240 264 330 352 440 480 528 660 880 1056 1320 1760 2640 5280 5431 10862 16293 21724 27155 32586 43448 54310 59741 65172 81465 86896 108620 119482 130344 162930 173792 179223 217240 238964 260688 298705 325860 358446 434480 477928 521376 597410 651720 716892 868960 896115 955856 1194820 1303440 1433784 1792230 1911712 2389640 2606880 2867568 3584460 4779280 5735136 7168920 9558560 14337840 28675680