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28381920 = 253578447
BaseRepresentation
bin110110001000…
…1001011100000
31222101221200020
41230101023200
524231210140
62452153440
7463146060
oct154211340
958357606
1028381920
1115025836
129608880
135b59648
143aab3a0
1527596d0
hex1b112e0

28381920 has 96 divisors (see below), whose sum is σ = 102187008. Its totient is φ = 6486528.

The previous prime is 28381919. The next prime is 28381939. The reversal of 28381920 is 2918382.

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 polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 864 + ... + 7583.

It is an arithmetic number, because the mean of its divisors is an integer number (1064448).

Almost surely, 228381920 is an apocalyptic number.

28381920 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 28381920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51093504).

28381920 is an abundant number, since it is smaller than the sum of its proper divisors (73805088).

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

28381920 is a wasteful number, since it uses less digits than its factorization.

28381920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8472 (or 8464 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 28381920 is about 5327.4684419525. The cubic root of 28381920 is about 305.0333028224.

The spelling of 28381920 in words is "twenty-eight million, three hundred eighty-one thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 70 80 84 96 105 112 120 140 160 168 210 224 240 280 336 420 480 560 672 840 1120 1680 3360 8447 16894 25341 33788 42235 50682 59129 67576 84470 101364 118258 126705 135152 168940 177387 202728 236516 253410 270304 295645 337880 354774 405456 473032 506820 591290 675760 709548 810912 886935 946064 1013640 1182580 1351520 1419096 1773870 1892128 2027280 2365160 2838192 3547740 4054560 4730320 5676384 7095480 9460640 14190960 28381920