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28981920 = 2535112499
BaseRepresentation
bin110111010001…
…1101010100000
32000112102201110
41232203222200
524404410140
62513103320
7501225252
oct156435240
960472643
1028981920
11153a5600
129857b40
136009786
143bc5cd2
152827380
hex1ba3aa0

28981920 has 144 divisors (see below), whose sum is σ = 100548000. Its totient is φ = 7011840.

The previous prime is 28981907. The next prime is 28981943. The reversal of 28981920 is 2918982.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57831 + ... + 58329.

It is an arithmetic number, because the mean of its divisors is an integer number (698250).

Almost surely, 228981920 is an apocalyptic number.

28981920 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 28981920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50274000).

28981920 is an abundant number, since it is smaller than the sum of its proper divisors (71566080).

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

28981920 is a wasteful number, since it uses less digits than its factorization.

28981920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 539 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 39.

The square root of 28981920 is about 5383.4858595523. The cubic root of 28981920 is about 307.1678216078.

The spelling of 28981920 in words is "twenty-eight million, nine hundred eighty-one thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 66 80 88 96 110 120 121 132 160 165 176 220 240 242 264 330 352 363 440 480 484 499 528 605 660 726 880 968 998 1056 1210 1320 1452 1497 1760 1815 1936 1996 2420 2495 2640 2904 2994 3630 3872 3992 4840 4990 5280 5489 5808 5988 7260 7485 7984 9680 9980 10978 11616 11976 14520 14970 15968 16467 19360 19960 21956 23952 27445 29040 29940 32934 39920 43912 47904 54890 58080 59880 60379 65868 79840 82335 87824 109780 119760 120758 131736 164670 175648 181137 219560 239520 241516 263472 301895 329340 362274 439120 483032 526944 603790 658680 724548 878240 905685 966064 1207580 1317360 1449096 1811370 1932128 2415160 2634720 2898192 3622740 4830320 5796384 7245480 9660640 14490960 28981920