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28914720 = 2535591021
BaseRepresentation
bin110111001001…
…1010000100000
32000102000112120
41232103100200
524400232340
62511424240
7500525322
oct156232040
960360476
1028914720
111535a06a
129825080
135cb5003
143ba9612
1528124d0
hex1b93420

28914720 has 96 divisors (see below), whose sum is σ = 92715840. Its totient is φ = 7572480.

The previous prime is 28914719. The next prime is 28914727. The reversal of 28914720 is 2741982.

It is a happy number.

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

It is a super-2 number, since 2×289147202 = 1672122065356800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28914727) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27810 + ... + 28830.

It is an arithmetic number, because the mean of its divisors is an integer number (965790).

Almost surely, 228914720 is an apocalyptic number.

28914720 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 28914720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46357920).

28914720 is an abundant number, since it is smaller than the sum of its proper divisors (63801120).

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

28914720 is a wasteful number, since it uses less digits than its factorization.

28914720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1098 (or 1090 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 28914720 is about 5377.2409282084. The cubic root of 28914720 is about 306.9302292047.

The spelling of 28914720 in words is "twenty-eight million, nine hundred fourteen thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 59 60 80 96 118 120 160 177 236 240 295 354 472 480 590 708 885 944 1021 1180 1416 1770 1888 2042 2360 2832 3063 3540 4084 4720 5105 5664 6126 7080 8168 9440 10210 12252 14160 15315 16336 20420 24504 28320 30630 32672 40840 49008 60239 61260 81680 98016 120478 122520 163360 180717 240956 245040 301195 361434 481912 490080 602390 722868 903585 963824 1204780 1445736 1807170 1927648 2409560 2891472 3614340 4819120 5782944 7228680 9638240 14457360 28914720