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28775628 = 22337172239
BaseRepresentation
bin110110111000…
…1010011001100
32000010221202000
41231301103030
524331310003
62504432300
7466405650
oct155612314
960127660
1028775628
1115274612
129778690
135c668cb
143b70a60
1527d61a3
hex1b714cc

28775628 has 96 divisors (see below), whose sum is σ = 90316800. Its totient is φ = 7734528.

The previous prime is 28775597. The next prime is 28775653. The reversal of 28775628 is 82657782.

28775628 is a `hidden beast` number, since 2 + 87 + 7 + 562 + 8 = 666.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 11733 + ... + 13971.

It is an arithmetic number, because the mean of its divisors is an integer number (940800).

Almost surely, 228775628 is an apocalyptic number.

28775628 is a gapful number since it is divisible by the number (28) 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 28775628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45158400).

28775628 is an abundant number, since it is smaller than the sum of its proper divisors (61541172).

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

28775628 is a wasteful number, since it uses less digits than its factorization.

28775628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2276 (or 2268 counting only the distinct ones).

The product of its digits is 376320, while the sum is 45.

The square root of 28775628 is about 5364.2919383643. The cubic root of 28775628 is about 306.4372833079.

It can be divided in two parts, 28775 and 628, that added together give a triangular number (29403 = T242).

The spelling of 28775628 in words is "twenty-eight million, seven hundred seventy-five thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 27 28 34 36 42 51 54 63 68 84 102 108 119 126 153 189 204 238 252 306 357 378 459 476 612 714 756 918 1071 1428 1836 2142 2239 3213 4284 4478 6426 6717 8956 12852 13434 15673 20151 26868 31346 38063 40302 47019 60453 62692 76126 80604 94038 114189 120906 141057 152252 188076 228378 241812 266441 282114 342567 423171 456756 532882 564228 685134 799323 846342 1027701 1065764 1370268 1598646 1692684 2055402 2397969 3197292 4110804 4795938 7193907 9591876 14387814 28775628