Search a number
-
+
28011000 = 233539337
BaseRepresentation
bin110101011011…
…0100111111000
31221201002212110
41222312213320
524132323000
62440212320
7460042503
oct152664770
957632773
1028011000
11148a2096
12946a0a0
135a59874
143a1213a
1526d4850
hex1ab69f8

28011000 has 64 divisors (see below), whose sum is σ = 87403680. Its totient is φ = 7468800.

The previous prime is 28010971. The next prime is 28011023. The reversal of 28011000 is 11082.

It is a happy number.

It is a super-2 number, since 2×280110002 = 1569232242000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1669 + ... + 7668.

Almost surely, 228011000 is an apocalyptic number.

28011000 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 28011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43701840).

28011000 is an abundant number, since it is smaller than the sum of its proper divisors (59392680).

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

28011000 is a wasteful number, since it uses less digits than its factorization.

28011000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9361 (or 9347 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 28011000 is about 5292.5419223658. The cubic root of 28011000 is about 303.6986568370.

Adding to 28011000 its reverse (11082), we get a palindrome (28022082).

The spelling of 28011000 in words is "twenty-eight million, eleven thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 3000 9337 18674 28011 37348 46685 56022 74696 93370 112044 140055 186740 224088 233425 280110 373480 466850 560220 700275 933700 1120440 1167125 1400550 1867400 2334250 2801100 3501375 4668500 5602200 7002750 9337000 14005500 28011000