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28602720 = 253452207
BaseRepresentation
bin110110100011…
…1000101100000
31222211011120000
41231013011200
524310241340
62501020000
7465055566
oct155070540
958734500
1028602720
1115166713
1296b4600
135c05cb3
143b27a36
15279ed30
hex1b47160

28602720 has 120 divisors (see below), whose sum is σ = 100989504. Its totient is φ = 7623936.

The previous prime is 28602719. The next prime is 28602757. The reversal of 28602720 is 2720682.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 19 ways as a sum of consecutive naturals, for example, 11857 + ... + 14063.

Almost surely, 228602720 is an apocalyptic number.

28602720 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 28602720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50494752).

28602720 is an abundant number, since it is smaller than the sum of its proper divisors (72386784).

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

28602720 is a wasteful number, since it uses less digits than its factorization.

28602720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2234 (or 2217 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 28602720 is about 5348.1510823835. The cubic root of 28602720 is about 305.8222728039.

The spelling of 28602720 in words is "twenty-eight million, six hundred two thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 81 90 96 108 120 135 144 160 162 180 216 240 270 288 324 360 405 432 480 540 648 720 810 864 1080 1296 1440 1620 2160 2207 2592 3240 4320 4414 6480 6621 8828 11035 12960 13242 17656 19863 22070 26484 33105 35312 39726 44140 52968 59589 66210 70624 79452 88280 99315 105936 119178 132420 158904 176560 178767 198630 211872 238356 264840 297945 317808 353120 357534 397260 476712 529680 595890 635616 715068 794520 893835 953424 1059360 1191780 1430136 1589040 1787670 1906848 2383560 2860272 3178080 3575340 4767120 5720544 7150680 9534240 14301360 28602720