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28675640 = 2357472179
BaseRepresentation
bin110110101100…
…0111000111000
31222221212120202
41231120320320
524320110030
62502341332
7465511310
oct155307070
958855522
1028675640
1115206484
12972a848
135c30246
143b46440
1527b6745
hex1b58e38

28675640 has 64 divisors (see below), whose sum is σ = 75340800. Its totient is φ = 9618048.

The previous prime is 28675639. The next prime is 28675643. The reversal of 28675640 is 4657682.

It is a happy number.

It is a super-3 number, since 3×286756403 (a number of 23 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 28675594 and 28675603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28675643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12071 + ... + 14249.

It is an arithmetic number, because the mean of its divisors is an integer number (1177200).

Almost surely, 228675640 is an apocalyptic number.

28675640 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 28675640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37670400).

28675640 is an abundant number, since it is smaller than the sum of its proper divisors (46665160).

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

28675640 is a wasteful number, since it uses less digits than its factorization.

28675640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2244 (or 2240 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 38.

The square root of 28675640 is about 5354.9640521669. The cubic root of 28675640 is about 306.0819408337.

The spelling of 28675640 in words is "twenty-eight million, six hundred seventy-five thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 47 56 70 94 140 188 235 280 329 376 470 658 940 1316 1645 1880 2179 2632 3290 4358 6580 8716 10895 13160 15253 17432 21790 30506 43580 61012 76265 87160 102413 122024 152530 204826 305060 409652 512065 610120 716891 819304 1024130 1433782 2048260 2867564 3584455 4096520 5735128 7168910 14337820 28675640