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28275936 = 25313139163
BaseRepresentation
bin110101111011…
…1010011100000
31222012120021220
41223313103200
524214312221
62450015040
7462225063
oct153672340
958176256
1028275936
1114a63147
129577480
135b20330
143a808da
1527380c6
hex1af74e0

28275936 has 96 divisors (see below), whose sum is σ = 81002880. Its totient is φ = 8584704.

The previous prime is 28275931. The next prime is 28275941. The reversal of 28275936 is 63957282.

It is an interprime number because it is at equal distance from previous prime (28275931) and next prime (28275941).

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

Its product of digits (181440) is a multiple of the sum of its prime divisors (320).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28275931) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 173391 + ... + 173553.

It is an arithmetic number, because the mean of its divisors is an integer number (843780).

Almost surely, 228275936 is an apocalyptic number.

28275936 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 28275936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40501440).

28275936 is an abundant number, since it is smaller than the sum of its proper divisors (52726944).

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

28275936 is a wasteful number, since it uses less digits than its factorization.

28275936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 320 counting only the distinct ones).

The product of its digits is 181440, while the sum is 42.

The square root of 28275936 is about 5317.5122002681. The cubic root of 28275936 is about 304.6531432714.

The spelling of 28275936 in words is "twenty-eight million, two hundred seventy-five thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 139 156 163 208 278 312 326 416 417 489 556 624 652 834 978 1112 1248 1304 1668 1807 1956 2119 2224 2608 3336 3614 3912 4238 4448 5216 5421 6357 6672 7228 7824 8476 10842 12714 13344 14456 15648 16952 21684 22657 25428 28912 33904 43368 45314 50856 57824 67808 67971 86736 90628 101712 135942 173472 181256 203424 271884 294541 362512 543768 589082 725024 883623 1087536 1178164 1767246 2175072 2356328 3534492 4712656 7068984 9425312 14137968 28275936