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28828224 = 26346783
BaseRepresentation
bin110110111111…
…0001001000000
32000020121220000
41231332021000
524340000344
62505520000
7500015205
oct155761100
960217800
1028828224
1115300087
1297a3000
135c84829
143b85cac
1527e6a69
hex1b7e240

28828224 has 140 divisors (see below), whose sum is σ = 87776304. Its totient is φ = 9351936.

The previous prime is 28828213. The next prime is 28828231. The reversal of 28828224 is 42282882.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 347287 + ... + 347369.

Almost surely, 228828224 is an apocalyptic number.

28828224 is a gapful number since it is divisible by the number (24) 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 28828224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43888152).

28828224 is an abundant number, since it is smaller than the sum of its proper divisors (58948080).

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

28828224 is an equidigital number, since it uses as much as digits as its factorization.

28828224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 155 counting only the distinct ones).

The product of its digits is 32768, while the sum is 36.

The square root of 28828224 is about 5369.1921180006. The cubic root of 28828224 is about 306.6238713649.

The spelling of 28828224 in words is "twenty-eight million, eight hundred twenty-eight thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 67 72 81 83 96 108 134 144 162 166 192 201 216 249 268 288 324 332 402 432 498 536 576 603 648 664 747 804 864 996 1072 1206 1296 1328 1494 1608 1728 1809 1992 2144 2241 2412 2592 2656 2988 3216 3618 3984 4288 4482 4824 5184 5312 5427 5561 5976 6432 6723 7236 7968 8964 9648 10854 11122 11952 12864 13446 14472 15936 16683 17928 19296 21708 22244 23904 26892 28944 33366 35856 38592 43416 44488 47808 50049 53784 57888 66732 71712 86832 88976 100098 107568 115776 133464 143424 150147 173664 177952 200196 215136 266928 300294 347328 355904 400392 430272 450441 533856 600588 800784 900882 1067712 1201176 1601568 1801764 2402352 3203136 3603528 4804704 7207056 9609408 14414112 28828224