Search a number
-
+
27728448 = 2631119691
BaseRepresentation
bin110100111000…
…1101001000000
31221011202021120
41221301221000
524044302243
62430152240
7454454646
oct151615100
957152246
1027728448
1114719880
129352680
13598b087
14397b196
15267ac83
hex1a71a40

27728448 has 112 divisors (see below), whose sum is σ = 84368640. Its totient is φ = 7948800.

The previous prime is 27728431. The next prime is 27728473. The reversal of 27728448 is 84482772.

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, 39783 + ... + 40473.

Almost surely, 227728448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27728448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42184320).

27728448 is an abundant number, since it is smaller than the sum of its proper divisors (56640192).

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

27728448 is a wasteful number, since it uses less digits than its factorization.

27728448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 736 (or 726 counting only the distinct ones).

The product of its digits is 200704, while the sum is 42.

The square root of 27728448 is about 5265.7808537766. The cubic root of 27728448 is about 302.6740495999.

The spelling of 27728448 in words is "twenty-seven million, seven hundred twenty-eight thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 19 22 24 32 33 38 44 48 57 64 66 76 88 96 114 132 152 176 192 209 228 264 304 352 418 456 528 608 627 691 704 836 912 1056 1216 1254 1382 1672 1824 2073 2112 2508 2764 3344 3648 4146 5016 5528 6688 7601 8292 10032 11056 13129 13376 15202 16584 20064 22112 22803 26258 30404 33168 39387 40128 44224 45606 52516 60808 66336 78774 91212 105032 121616 132672 144419 157548 182424 210064 243232 288838 315096 364848 420128 433257 486464 577676 630192 729696 840256 866514 1155352 1260384 1459392 1733028 2310704 2520768 3466056 4621408 6932112 9242816 13864224 27728448