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28481376 = 2537113853
BaseRepresentation
bin110110010100…
…1011101100000
31222121000002210
41230221131200
524242401001
62454242120
7464042040
oct154513540
958530083
1028481376
1115093530
129656340
135b929b1
143ad5720
152778dd6
hex1b29760

28481376 has 96 divisors (see below), whose sum is σ = 93235968. Its totient is φ = 7395840.

The previous prime is 28481363. The next prime is 28481381. The reversal of 28481376 is 67318482.

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

It is a super-2 number, since 2×284813762 = 1622377557706752, which contains 22 as substring.

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 polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5466 + ... + 9318.

It is an arithmetic number, because the mean of its divisors is an integer number (971208).

Almost surely, 228481376 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 28481376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46617984).

28481376 is an abundant number, since it is smaller than the sum of its proper divisors (64754592).

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

28481376 is a wasteful number, since it uses less digits than its factorization.

28481376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3884 (or 3876 counting only the distinct ones).

The product of its digits is 64512, while the sum is 39.

The square root of 28481376 is about 5336.7945435439. The cubic root of 28481376 is about 305.3891869541.

It can be divided in two parts, 2848 and 1376, that added together give a palindrome (4224).

The spelling of 28481376 in words is "twenty-eight million, four hundred eighty-one thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 56 66 77 84 88 96 112 132 154 168 176 224 231 264 308 336 352 462 528 616 672 924 1056 1232 1848 2464 3696 3853 7392 7706 11559 15412 23118 26971 30824 42383 46236 53942 61648 80913 84766 92472 107884 123296 127149 161826 169532 184944 215768 254298 296681 323652 339064 369888 431536 508596 593362 647304 678128 863072 890043 1017192 1186724 1294608 1356256 1780086 2034384 2373448 2589216 3560172 4068768 4746896 7120344 9493792 14240688 28481376