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28191144 = 2334359463
BaseRepresentation
bin110101110001…
…0100110101000
31222001020222110
41223202212220
524204104034
62444122320
7461422632
oct153424650
958036873
1028191144
1114a05473
1295363a0
135ac0867
143a5ba52
15271cde9
hex1ae29a8

28191144 has 64 divisors (see below), whose sum is σ = 73497600. Its totient is φ = 9003456.

The previous prime is 28191139. The next prime is 28191167. The reversal of 28191144 is 44119182.

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, 60657 + ... + 61119.

It is an arithmetic number, because the mean of its divisors is an integer number (1148400).

Almost surely, 228191144 is an apocalyptic number.

28191144 is a gapful number since it is divisible by the number (24) 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 28191144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36748800).

28191144 is an abundant number, since it is smaller than the sum of its proper divisors (45306456).

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

28191144 is a wasteful number, since it uses less digits than its factorization.

28191144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 574 (or 570 counting only the distinct ones).

The product of its digits is 2304, while the sum is 30.

The square root of 28191144 is about 5309.5333128251. The cubic root of 28191144 is about 304.3483138259.

It can be divided in two parts, 28191 and 144, that multiplied together give a palindrome (4059504).

The spelling of 28191144 in words is "twenty-eight million, one hundred ninety-one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 43 59 86 118 129 172 177 236 258 344 354 463 472 516 708 926 1032 1389 1416 1852 2537 2778 3704 5074 5556 7611 10148 11112 15222 19909 20296 27317 30444 39818 54634 59727 60888 79636 81951 109268 119454 159272 163902 218536 238908 327804 477816 655608 1174631 2349262 3523893 4698524 7047786 9397048 14095572 28191144