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28283920 = 2457172971
BaseRepresentation
bin110101111100…
…1010000010000
31222012222020121
41223321100100
524220041140
62450120024
7462260260
oct153712020
958188217
1028283920
1114a69145
129580014
135b23b62
143a837a0
15273a64a
hex1af9410

28283920 has 80 divisors (see below), whose sum is σ = 79602048. Its totient is φ = 9123840.

The previous prime is 28283911. The next prime is 28283921. The reversal of 28283920 is 2938282.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (28283921) by changing a digit.

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, 8035 + ... + 11005.

Almost surely, 228283920 is an apocalyptic number.

28283920 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 28283920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39801024).

28283920 is an abundant number, since it is smaller than the sum of its proper divisors (51318128).

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

28283920 is a wasteful number, since it uses less digits than its factorization.

28283920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3008 (or 3002 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The square root of 28283920 is about 5318.2628742852. The cubic root of 28283920 is about 304.6818145509.

The spelling of 28283920 in words is "twenty-eight million, two hundred eighty-three thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 17 20 28 34 35 40 56 68 70 80 85 112 119 136 140 170 238 272 280 340 476 560 595 680 952 1190 1360 1904 2380 2971 4760 5942 9520 11884 14855 20797 23768 29710 41594 47536 50507 59420 83188 101014 103985 118840 166376 202028 207970 237680 252535 332752 353549 404056 415940 505070 707098 808112 831880 1010140 1414196 1663760 1767745 2020280 2828392 3535490 4040560 5656784 7070980 14141960 28283920