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28696920 = 23357127269
BaseRepresentation
bin110110101111…
…0000101011000
31222222221202220
41231132011120
524321300140
62503024040
7465630330
oct155360530
958887686
1028696920
111522046a
12973b020
135c39b35
143b500c0
1527bcbd0
hex1b5e158

28696920 has 128 divisors (see below), whose sum is σ = 99532800. Its totient is φ = 6483456.

The previous prime is 28696909. The next prime is 28696949. The reversal of 28696920 is 2969682.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 106546 + ... + 106814.

It is an arithmetic number, because the mean of its divisors is an integer number (777600).

Almost surely, 228696920 is an apocalyptic number.

28696920 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 28696920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49766400).

28696920 is an abundant number, since it is smaller than the sum of its proper divisors (70835880).

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

28696920 is a wasteful number, since it uses less digits than its factorization.

28696920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The square root of 28696920 is about 5356.9506251225. The cubic root of 28696920 is about 306.1576358973.

The spelling of 28696920 in words is "twenty-eight million, six hundred ninety-six thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 127 140 168 210 254 269 280 381 420 508 538 635 762 807 840 889 1016 1076 1270 1345 1524 1614 1778 1883 1905 2152 2540 2667 2690 3048 3228 3556 3766 3810 4035 4445 5080 5334 5380 5649 6456 7112 7532 7620 8070 8890 9415 10668 10760 11298 13335 15064 15240 16140 17780 18830 21336 22596 26670 28245 32280 34163 35560 37660 45192 53340 56490 68326 75320 102489 106680 112980 136652 170815 204978 225960 239141 273304 341630 409956 478282 512445 683260 717423 819912 956564 1024890 1195705 1366520 1434846 1913128 2049780 2391410 2869692 3587115 4099560 4782820 5739384 7174230 9565640 14348460 28696920