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28461720 = 23357311093
BaseRepresentation
bin110110010010…
…0101010011000
31222120000010210
41230210222120
524241233340
62454011120
7463630530
oct154445230
958500123
1028461720
111507a791
129646aa0
135b86a71
143acc4c0
152773180
hex1b24a98

28461720 has 128 divisors (see below), whose sum is σ = 100823040. Its totient is φ = 6289920.

The previous prime is 28461703. The next prime is 28461733. The reversal of 28461720 is 2716482.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25494 + ... + 26586.

It is an arithmetic number, because the mean of its divisors is an integer number (787680).

Almost surely, 228461720 is an apocalyptic number.

28461720 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 28461720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50411520).

28461720 is an abundant number, since it is smaller than the sum of its proper divisors (72361320).

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

28461720 is a wasteful number, since it uses less digits than its factorization.

28461720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1145 (or 1141 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 28461720 is about 5334.9526708304. The cubic root of 28461720 is about 305.3189175111.

The spelling of 28461720 in words is "twenty-eight million, four hundred sixty-one thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 31 35 40 42 56 60 62 70 84 93 105 120 124 140 155 168 186 210 217 248 280 310 372 420 434 465 620 651 744 840 868 930 1085 1093 1240 1302 1736 1860 2170 2186 2604 3255 3279 3720 4340 4372 5208 5465 6510 6558 7651 8680 8744 10930 13020 13116 15302 16395 21860 22953 26040 26232 30604 32790 33883 38255 43720 45906 61208 65580 67766 76510 91812 101649 114765 131160 135532 153020 169415 183624 203298 229530 237181 271064 306040 338830 406596 459060 474362 508245 677660 711543 813192 918120 948724 1016490 1185905 1355320 1423086 1897448 2032980 2371810 2846172 3557715 4065960 4743620 5692344 7115430 9487240 14230860 28461720