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28105376 = 251325197
BaseRepresentation
bin110101100110…
…1101010100000
31221212220022212
41223031222200
524143333001
62442221252
7460614605
oct153155240
957786285
1028105376
1114956a92
1294b4828
135a90800
143a386ac
1527027bb
hex1acdaa0

28105376 has 36 divisors (see below), whose sum is σ = 59927742. Its totient is φ = 12969216.

The previous prime is 28105373. The next prime is 28105391. The reversal of 28105376 is 67350182.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 13512976 + 14592400 = 3676^2 + 3820^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (28105373) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2810 + ... + 8006.

Almost surely, 228105376 is an apocalyptic number.

28105376 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 28105376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29963871).

28105376 is an abundant number, since it is smaller than the sum of its proper divisors (31822366).

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

28105376 is a wasteful number, since it uses less digits than its factorization.

28105376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5233 (or 5212 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 32.

The square root of 28105376 is about 5301.4503675881. The cubic root of 28105376 is about 304.0393531695.

The spelling of 28105376 in words is "twenty-eight million, one hundred five thousand, three hundred seventy-six".

Divisors: 1 2 4 8 13 16 26 32 52 104 169 208 338 416 676 1352 2704 5197 5408 10394 20788 41576 67561 83152 135122 166304 270244 540488 878293 1080976 1756586 2161952 3513172 7026344 14052688 28105376