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28819296 = 2532112827
BaseRepresentation
bin110110111101…
…1111101100000
32000020011122100
41231323331200
524334204141
62505410400
7466650162
oct155737540
960204570
1028819296
11152a4400
129799a00
135c8074c
143b82932
1527e40b6
hex1b7bf60

28819296 has 108 divisors (see below), whose sum is σ = 90191556. Its totient is φ = 8722560.

The previous prime is 28819291. The next prime is 28819381. The reversal of 28819296 is 69291882.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28819291) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 34435 + ... + 35261.

It is an arithmetic number, because the mean of its divisors is an integer number (835107).

Almost surely, 228819296 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 28819296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45095778).

28819296 is an abundant number, since it is smaller than the sum of its proper divisors (61372260).

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

28819296 is a wasteful number, since it uses less digits than its factorization.

28819296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 865 (or 843 counting only the distinct ones).

The product of its digits is 124416, while the sum is 45.

The square root of 28819296 is about 5368.3606436230. The cubic root of 28819296 is about 306.5922146503.

The spelling of 28819296 in words is "twenty-eight million, eight hundred nineteen thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 121 132 144 176 198 242 264 288 352 363 396 484 528 726 792 827 968 1056 1089 1452 1584 1654 1936 2178 2481 2904 3168 3308 3872 4356 4962 5808 6616 7443 8712 9097 9924 11616 13232 14886 17424 18194 19848 26464 27291 29772 34848 36388 39696 54582 59544 72776 79392 81873 100067 109164 119088 145552 163746 200134 218328 238176 291104 300201 327492 400268 436656 600402 654984 800536 873312 900603 1200804 1309968 1601072 1801206 2401608 2619936 3202144 3602412 4803216 7204824 9606432 14409648 28819296