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28527000 = 2335337257
BaseRepresentation
bin110110011010…
…0100110011000
31222200022200120
41230310212120
524300331000
62455233240
7464322045
oct154644630
958608616
1028527000
1115114837
129678820
135baa6a8
143b081cc
1527876a0
hex1b34998

28527000 has 128 divisors (see below), whose sum is σ = 91765440. Its totient is φ = 7372800.

The previous prime is 28526987. The next prime is 28527001. The reversal of 28527000 is 72582.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28527001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 110872 + ... + 111128.

Almost surely, 228527000 is an apocalyptic number.

28527000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

28527000 is the 3084-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28527000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45882720).

28527000 is an abundant number, since it is smaller than the sum of its proper divisors (63238440).

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

28527000 is a wasteful number, since it uses less digits than its factorization.

28527000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 28527000 is about 5341.0673090685. The cubic root of 28527000 is about 305.5521664760.

Adding to 28527000 its reverse (72582), we get a palindrome (28599582).

The spelling of 28527000 in words is "twenty-eight million, five hundred twenty-seven thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 37 40 50 60 74 75 100 111 120 125 148 150 185 200 222 250 257 296 300 370 375 444 500 514 555 600 740 750 771 888 925 1000 1028 1110 1285 1480 1500 1542 1850 2056 2220 2570 2775 3000 3084 3700 3855 4440 4625 5140 5550 6168 6425 7400 7710 9250 9509 10280 11100 12850 13875 15420 18500 19018 19275 22200 25700 27750 28527 30840 32125 37000 38036 38550 47545 51400 55500 57054 64250 76072 77100 95090 96375 111000 114108 128500 142635 154200 190180 192750 228216 237725 257000 285270 380360 385500 475450 570540 713175 771000 950900 1141080 1188625 1426350 1901800 2377250 2852700 3565875 4754500 5705400 7131750 9509000 14263500 28527000