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28668672 = 283223541
BaseRepresentation
bin110110101011…
…1001100000000
31222221112000200
41231113030000
524314344142
62502245200
7465452064
oct155271400
958845020
1028668672
111520121a
129726800
135c2a016
143b43aa4
1527b464c
hex1b57300

28668672 has 108 divisors (see below), whose sum is σ = 86412144. Its totient is φ = 9123840.

The previous prime is 28668667. The next prime is 28668683. The reversal of 28668672 is 27686682.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 52722 + ... + 53262.

Almost surely, 228668672 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 28668672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43206072).

28668672 is an abundant number, since it is smaller than the sum of its proper divisors (57743472).

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

28668672 is a wasteful number, since it uses less digits than its factorization.

28668672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 586 (or 569 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 28668672 is about 5354.3134013616. The cubic root of 28668672 is about 306.0571468304.

The spelling of 28668672 in words is "twenty-eight million, six hundred sixty-eight thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 64 69 72 92 96 128 138 144 184 192 207 256 276 288 368 384 414 541 552 576 736 768 828 1082 1104 1152 1472 1623 1656 2164 2208 2304 2944 3246 3312 4328 4416 4869 5888 6492 6624 8656 8832 9738 12443 12984 13248 17312 17664 19476 24886 25968 26496 34624 37329 38952 49772 51936 52992 69248 74658 77904 99544 103872 111987 138496 149316 155808 199088 207744 223974 298632 311616 398176 415488 447948 597264 623232 796352 895896 1194528 1246464 1592704 1791792 2389056 3185408 3583584 4778112 7167168 9556224 14334336 28668672