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28457136 = 2433193467
BaseRepresentation
bin110110010001…
…1100010110000
31222112202212000
41230203202300
524241112021
62453534000
7463611261
oct154434260
958482760
1028457136
11150772a4
129644300
135b84956
143aca968
152771b26
hex1b238b0

28457136 has 80 divisors (see below), whose sum is σ = 86006400. Its totient is φ = 8983872.

The previous prime is 28457119. The next prime is 28457153. The reversal of 28457136 is 63175482.

28457136 is a `hidden beast` number, since 2 + 84 + 571 + 3 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (28457119) and next prime (28457153).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 28457136.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6475 + ... + 9941.

It is an arithmetic number, because the mean of its divisors is an integer number (1075080).

Almost surely, 228457136 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 28457136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43003200).

28457136 is an abundant number, since it is smaller than the sum of its proper divisors (57549264).

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

28457136 is a wasteful number, since it uses less digits than its factorization.

28457136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3503 (or 3491 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 28457136 is about 5334.5230339741. The cubic root of 28457136 is about 305.3025252356.

The spelling of 28457136 in words is "twenty-eight million, four hundred fifty-seven thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 36 38 48 54 57 72 76 108 114 144 152 171 216 228 304 342 432 456 513 684 912 1026 1368 2052 2736 3467 4104 6934 8208 10401 13868 20802 27736 31203 41604 55472 62406 65873 83208 93609 124812 131746 166416 187218 197619 249624 263492 374436 395238 499248 526984 592857 748872 790476 1053968 1185714 1497744 1580952 1778571 2371428 3161904 3557142 4742856 7114284 9485712 14228568 28457136