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28224672 = 253797433
BaseRepresentation
bin110101110101…
…0110010100000
31222002221222020
41223222302200
524211142142
62444541440
7461622450
oct153526240
958087866
1028224672
1114a28683
129551880
135b02bb8
143a69d60
152727cec
hex1aeaca0

28224672 has 96 divisors (see below), whose sum is σ = 85744512. Its totient is φ = 7962624.

The previous prime is 28224661. The next prime is 28224697. The reversal of 28224672 is 27642282.

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

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

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, 64968 + ... + 65400.

It is an arithmetic number, because the mean of its divisors is an integer number (893172).

Almost surely, 228224672 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 28224672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42872256).

28224672 is an abundant number, since it is smaller than the sum of its proper divisors (57519840).

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

28224672 is a wasteful number, since it uses less digits than its factorization.

28224672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 550 (or 542 counting only the distinct ones).

The product of its digits is 21504, while the sum is 33.

The square root of 28224672 is about 5312.6897142596. The cubic root of 28224672 is about 304.4689208225.

The spelling of 28224672 in words is "twenty-eight million, two hundred twenty-four thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 97 112 168 194 224 291 336 388 433 582 672 679 776 866 1164 1299 1358 1552 1732 2037 2328 2598 2716 3031 3104 3464 4074 4656 5196 5432 6062 6928 8148 9093 9312 10392 10864 12124 13856 16296 18186 20784 21728 24248 32592 36372 41568 42001 48496 65184 72744 84002 96992 126003 145488 168004 252006 290976 294007 336008 504012 588014 672016 882021 1008024 1176028 1344032 1764042 2016048 2352056 3528084 4032096 4704112 7056168 9408224 14112336 28224672