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28811000 = 235347613
BaseRepresentation
bin110110111100…
…1111011111000
32000012202021002
41231321323320
524333423000
62505304132
7466614041
oct155717370
960182232
1028811000
1115299149
129795048
135c79a3a
143b7d8c8
1527e18d5
hex1b79ef8

28811000 has 64 divisors (see below), whose sum is σ = 68964480. Its totient is φ = 11260800.

The previous prime is 28810993. The next prime is 28811023. The reversal of 28811000 is 11882.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46694 + ... + 47306.

It is an arithmetic number, because the mean of its divisors is an integer number (1077570).

Almost surely, 228811000 is an apocalyptic number.

28811000 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 28811000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34482240).

28811000 is an abundant number, since it is smaller than the sum of its proper divisors (40153480).

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

28811000 is a wasteful number, since it uses less digits than its factorization.

28811000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 681 (or 667 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

The square root of 28811000 is about 5367.5879126475. The cubic root of 28811000 is about 306.5627930074.

Adding to 28811000 its reverse (11882), we get a palindrome (28822882).

The spelling of 28811000 in words is "twenty-eight million, eight hundred eleven thousand".

Divisors: 1 2 4 5 8 10 20 25 40 47 50 94 100 125 188 200 235 250 376 470 500 613 940 1000 1175 1226 1880 2350 2452 3065 4700 4904 5875 6130 9400 11750 12260 15325 23500 24520 28811 30650 47000 57622 61300 76625 115244 122600 144055 153250 230488 288110 306500 576220 613000 720275 1152440 1440550 2881100 3601375 5762200 7202750 14405500 28811000