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28147824 = 243437587
BaseRepresentation
bin110101101100…
…0000001110000
31221222001120000
41223120001300
524201212244
62443150000
7461152425
oct153300160
957861500
1028147824
1114985971
129515300
135aa6c23
143a49d4c
152710169
hex1ad8070

28147824 has 100 divisors (see below), whose sum is σ = 83812344. Its totient is φ = 9113472.

The previous prime is 28147813. The next prime is 28147831. The reversal of 28147824 is 42874182.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 47659 + ... + 48245.

Almost surely, 228147824 is an apocalyptic number.

28147824 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 28147824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41906172).

28147824 is an abundant number, since it is smaller than the sum of its proper divisors (55664520).

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

28147824 is a wasteful number, since it uses less digits than its factorization.

28147824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 644 (or 629 counting only the distinct ones).

The product of its digits is 28672, while the sum is 36.

The square root of 28147824 is about 5305.4522898618. The cubic root of 28147824 is about 304.1923413452.

The spelling of 28147824 in words is "twenty-eight million, one hundred forty-seven thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 37 48 54 72 74 81 108 111 144 148 162 216 222 296 324 333 432 444 587 592 648 666 888 999 1174 1296 1332 1761 1776 1998 2348 2664 2997 3522 3996 4696 5283 5328 5994 7044 7992 9392 10566 11988 14088 15849 15984 21132 21719 23976 28176 31698 42264 43438 47547 47952 63396 65157 84528 86876 95094 126792 130314 173752 190188 195471 253584 260628 347504 380376 390942 521256 586413 760752 781884 1042512 1172826 1563768 1759239 2345652 3127536 3518478 4691304 7036956 9382608 14073912 28147824