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28002720 = 2535227257
BaseRepresentation
bin110101011010…
…0100110100000
31221200200111210
41222310212200
524132041340
62440110120
7460006404
oct152644640
957620453
1028002720
1114896949
129465340
135a55b75
143a0d104
1526d2180
hex1ab49a0

28002720 has 96 divisors (see below), whose sum is σ = 88941888. Its totient is φ = 7405568.

The previous prime is 28002671. The next prime is 28002743. The reversal of 28002720 is 2720082.

It is a tau number, because it is divible by the number of its divisors (96).

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 15 ways as a sum of consecutive naturals, for example, 108832 + ... + 109088.

It is an arithmetic number, because the mean of its divisors is an integer number (926478).

Almost surely, 228002720 is an apocalyptic number.

28002720 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 28002720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44470944).

28002720 is an abundant number, since it is smaller than the sum of its proper divisors (60939168).

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

28002720 is a wasteful number, since it uses less digits than its factorization.

28002720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502 (or 494 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 28002720 is about 5291.7596317293. The cubic root of 28002720 is about 303.6687296335.

The spelling of 28002720 in words is "twenty-eight million, two thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 227 240 257 454 480 514 681 771 908 1028 1135 1285 1362 1542 1816 2056 2270 2570 2724 3084 3405 3632 3855 4112 4540 5140 5448 6168 6810 7264 7710 8224 9080 10280 10896 12336 13620 15420 18160 20560 21792 24672 27240 30840 36320 41120 54480 58339 61680 108960 116678 123360 175017 233356 291695 350034 466712 583390 700068 875085 933424 1166780 1400136 1750170 1866848 2333560 2800272 3500340 4667120 5600544 7000680 9334240 14001360 28002720