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28269648 = 243511661
BaseRepresentation
bin110101111010…
…1110001010000
31222012020200000
41223311301100
524214112043
62445530000
7462200541
oct153656120
958166600
1028269648
1114a59450
129573900
135b1a504
143a7c4c8
1527362d3
hex1af5c50

28269648 has 120 divisors (see below), whose sum is σ = 89640096. Its totient is φ = 8553600.

The previous prime is 28269629. The next prime is 28269653. The reversal of 28269648 is 84696282.

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

It is a congruent number.

It is an unprimeable number.

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, 42438 + ... + 43098.

Almost surely, 228269648 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 28269648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44820048).

28269648 is an abundant number, since it is smaller than the sum of its proper divisors (61370448).

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

28269648 is a wasteful number, since it uses less digits than its factorization.

28269648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 695 (or 677 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 28269648 is about 5316.9209134611. The cubic root of 28269648 is about 304.6305586847.

The spelling of 28269648 in words is "twenty-eight million, two hundred sixty-nine thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 81 88 99 108 132 144 162 176 198 216 243 264 297 324 396 432 486 528 594 648 661 792 891 972 1188 1296 1322 1584 1782 1944 1983 2376 2644 2673 3564 3888 3966 4752 5288 5346 5949 7128 7271 7932 10576 10692 11898 14256 14542 15864 17847 21384 21813 23796 29084 31728 35694 42768 43626 47592 53541 58168 65439 71388 87252 95184 107082 116336 130878 142776 160623 174504 196317 214164 261756 285552 321246 349008 392634 428328 523512 588951 642492 785268 856656 1047024 1177902 1284984 1570536 1766853 2355804 2569968 3141072 3533706 4711608 7067412 9423216 14134824 28269648