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28821024 = 25321923229
BaseRepresentation
bin110110111110…
…0011000100000
32000020021000100
41231330120200
524334233044
62505422400
7466655211
oct155743040
960207010
1028821024
11152a5731
12979aa00
135c8147b
143b83408
1527e4869
hex1b7c620

28821024 has 144 divisors (see below), whose sum is σ = 90417600. Its totient is φ = 8667648.

The previous prime is 28820993. The next prime is 28821049. The reversal of 28821024 is 42012882.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 125742 + ... + 125970.

It is an arithmetic number, because the mean of its divisors is an integer number (627900).

Almost surely, 228821024 is an apocalyptic number.

28821024 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 28821024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45208800).

28821024 is an abundant number, since it is smaller than the sum of its proper divisors (61596576).

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

28821024 is a wasteful number, since it uses less digits than its factorization.

28821024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 28821024 is about 5368.5215841980. The cubic root of 28821024 is about 306.5983422666.

It can be divided in two parts, 288 and 21024, that added together give a palindrome (21312).

The spelling of 28821024 in words is "twenty-eight million, eight hundred twenty-one thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 23 24 32 36 38 46 48 57 69 72 76 92 96 114 138 144 152 171 184 207 228 229 276 288 304 342 368 414 437 456 458 552 608 684 687 736 828 874 912 916 1104 1311 1368 1374 1656 1748 1824 1832 2061 2208 2622 2736 2748 3312 3496 3664 3933 4122 4351 5244 5267 5472 5496 6624 6992 7328 7866 8244 8702 10488 10534 10992 13053 13984 15732 15801 16488 17404 20976 21068 21984 26106 31464 31602 32976 34808 39159 41952 42136 47403 52212 62928 63204 65952 69616 78318 84272 94806 100073 104424 125856 126408 139232 156636 168544 189612 200146 208848 252816 300219 313272 379224 400292 417696 505632 600438 626544 758448 800584 900657 1200876 1253088 1516896 1601168 1801314 2401752 3202336 3602628 4803504 7205256 9607008 14410512 28821024