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28378896 = 2437137389
BaseRepresentation
bin110110001000…
…0011100010000
31222101210112020
41230100130100
524231111041
62452131440
7463134210
oct154203420
958353466
1028378896
1115023537
129606b80
135b58160
143aaa240
152758866
hex1b10710

28378896 has 160 divisors (see below), whose sum is σ = 92494080. Its totient is φ = 7299072.

The previous prime is 28378853. The next prime is 28378901. The reversal of 28378896 is 69887382.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 318820 + ... + 318908.

It is an arithmetic number, because the mean of its divisors is an integer number (578088).

Almost surely, 228378896 is an apocalyptic number.

28378896 is a gapful number since it is divisible by the number (26) 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 28378896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46247040).

28378896 is an abundant number, since it is smaller than the sum of its proper divisors (64115184).

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

28378896 is a wasteful number, since it uses less digits than its factorization.

28378896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 187 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 51.

The square root of 28378896 is about 5327.1846222935. The cubic root of 28378896 is about 305.0224690067.

The spelling of 28378896 in words is "twenty-eight million, three hundred seventy-eight thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 52 56 73 78 84 89 91 104 112 146 156 168 178 182 208 219 267 273 292 312 336 356 364 438 511 534 546 584 623 624 712 728 876 949 1022 1068 1092 1157 1168 1246 1424 1456 1533 1752 1869 1898 2044 2136 2184 2314 2492 2847 3066 3471 3504 3738 3796 4088 4272 4368 4628 4984 5694 6132 6497 6643 6942 7476 7592 8099 8176 9256 9968 11388 12264 12994 13286 13884 14952 15184 16198 18512 19491 19929 22776 24297 24528 25988 26572 27768 29904 32396 38982 39858 45479 45552 48594 51976 53144 55536 64792 77964 79716 84461 90958 97188 103952 106288 129584 136437 155928 159432 168922 181916 194376 253383 272874 311856 318864 337844 363832 388752 506766 545748 591227 675688 727664 1013532 1091496 1182454 1351376 1773681 2027064 2182992 2364908 3547362 4054128 4729816 7094724 9459632 14189448 28378896