Search a number
-
+
28735776 = 253379421
BaseRepresentation
bin110110110011…
…1100100100000
32000001221002000
41231213210200
524324021101
62503524000
7466151526
oct155474440
960057060
1028735776
1115247683
129759600
135c51724
143b60316
1527c9486
hex1b67920

28735776 has 96 divisors (see below), whose sum is σ = 85075200. Its totient is φ = 9434880.

The previous prime is 28735757. The next prime is 28735783. The reversal of 28735776 is 67753782.

28735776 is a `hidden beast` number, since 2 + 8 + 73 + 577 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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, 68046 + ... + 68466.

It is an arithmetic number, because the mean of its divisors is an integer number (886200).

Almost surely, 228735776 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 28735776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42537600).

28735776 is an abundant number, since it is smaller than the sum of its proper divisors (56339424).

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

28735776 is a wasteful number, since it uses less digits than its factorization.

28735776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 519 (or 505 counting only the distinct ones).

The product of its digits is 493920, while the sum is 45.

The square root of 28735776 is about 5360.5760884442. The cubic root of 28735776 is about 306.2957540414.

It can be divided in two parts, 2873 and 5776, that added together give a square (8649 = 932).

The spelling of 28735776 in words is "twenty-eight million, seven hundred thirty-five thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 79 96 108 144 158 216 237 288 316 421 432 474 632 711 842 864 948 1263 1264 1422 1684 1896 2133 2526 2528 2844 3368 3789 3792 4266 5052 5688 6736 7578 7584 8532 10104 11367 11376 13472 15156 17064 20208 22734 22752 30312 33259 34128 40416 45468 60624 66518 68256 90936 99777 121248 133036 181872 199554 266072 299331 363744 399108 532144 598662 798216 897993 1064288 1197324 1596432 1795986 2394648 3192864 3591972 4789296 7183944 9578592 14367888 28735776