Search a number
-
+
28645848 = 23327115167
BaseRepresentation
bin110110101000…
…1100111011000
31222220100201100
41231101213120
524313131343
62501551400
7465325410
oct155214730
958810640
1028645848
1115196060
129715560
135c1c80a
143b39640
1527ac9d3
hex1b519d8

28645848 has 96 divisors (see below), whose sum is σ = 96744960. Its totient is φ = 7439040.

The previous prime is 28645847. The next prime is 28645849. The reversal of 28645848 is 84854682.

28645848 is a `hidden beast` number, since 2 + 8 + 64 + 584 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (28645847) and next prime (28645849).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28645847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2961 + ... + 8127.

It is an arithmetic number, because the mean of its divisors is an integer number (1007760).

Almost surely, 228645848 is an apocalyptic number.

28645848 is a gapful number since it is divisible by the number (28) 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 28645848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48372480).

28645848 is an abundant number, since it is smaller than the sum of its proper divisors (68099112).

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

28645848 is a wasteful number, since it uses less digits than its factorization.

28645848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5197 (or 5190 counting only the distinct ones).

The product of its digits is 491520, while the sum is 45.

The square root of 28645848 is about 5352.1816112684. The cubic root of 28645848 is about 305.9759048053.

The spelling of 28645848 in words is "twenty-eight million, six hundred forty-five thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 18 21 22 24 28 33 36 42 44 56 63 66 72 77 84 88 99 126 132 154 168 198 231 252 264 308 396 462 504 616 693 792 924 1386 1848 2772 5167 5544 10334 15501 20668 31002 36169 41336 46503 56837 62004 72338 93006 108507 113674 124008 144676 170511 186012 217014 227348 289352 325521 341022 372024 397859 434028 454696 511533 651042 682044 795718 868056 1023066 1193577 1302084 1364088 1591436 2046132 2387154 2604168 3182872 3580731 4092264 4774308 7161462 9548616 14322924 28645848