Search a number
-
+
28555920 = 24325172333
BaseRepresentation
bin110110011101…
…1101010010000
31222201210100200
41230323222100
524302242140
62500015200
7464502261
oct154735220
958653320
1028555920
1115134538
129691500
135bba8c3
143b14968
152791030
hex1b3ba90

28555920 has 120 divisors (see below), whose sum is σ = 101585016. Its totient is φ = 7163904.

The previous prime is 28555907. The next prime is 28555939. The reversal of 28555920 is 2955582.

28555920 is a `hidden beast` number, since 2 + 85 + 559 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4112784 + 24443136 = 2028^2 + 4944^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 11074 + ... + 13406.

Almost surely, 228555920 is an apocalyptic number.

28555920 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 28555920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50792508).

28555920 is an abundant number, since it is smaller than the sum of its proper divisors (73029096).

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

28555920 is a wasteful number, since it uses less digits than its factorization.

28555920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2369 (or 2360 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The square root of 28555920 is about 5343.7739473148. The cubic root of 28555920 is about 305.6553854643.

The spelling of 28555920 in words is "twenty-eight million, five hundred fifty-five thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 30 34 36 40 45 48 51 60 68 72 80 85 90 102 120 136 144 153 170 180 204 240 255 272 306 340 360 408 510 612 680 720 765 816 1020 1224 1360 1530 2040 2333 2448 3060 4080 4666 6120 6999 9332 11665 12240 13998 18664 20997 23330 27996 34995 37328 39661 41994 46660 55992 69990 79322 83988 93320 104985 111984 118983 139980 158644 167976 186640 198305 209970 237966 279960 317288 335952 356949 396610 419940 475932 559920 594915 634576 713898 793220 839880 951864 1189830 1427796 1586440 1679760 1784745 1903728 2379660 2855592 3172880 3569490 4759320 5711184 7138980 9518640 14277960 28555920