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28057536 = 2633131249
BaseRepresentation
bin110101100000…
…1111111000000
31221210110201000
41223001333000
524140320121
62441212000
7460325253
oct153017700
957713630
1028057536
1114924051
129491000
135a74ac0
143a2509a
1526e3526
hex1ac1fc0

28057536 has 112 divisors (see below), whose sum is σ = 88900000. Its totient is φ = 8626176.

The previous prime is 28057501. The next prime is 28057553. The reversal of 28057536 is 63575082.

28057536 is a `hidden beast` number, since 2 + 80 + 575 + 3 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 28057536.

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, 21840 + ... + 23088.

It is an arithmetic number, because the mean of its divisors is an integer number (793750).

Almost surely, 228057536 is an apocalyptic number.

28057536 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 28057536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44450000).

28057536 is an abundant number, since it is smaller than the sum of its proper divisors (60842464).

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

28057536 is a wasteful number, since it uses less digits than its factorization.

28057536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1283 (or 1267 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 28057536 is about 5296.9364730946. The cubic root of 28057536 is about 303.8667467701.

28057536 divided by its sum of digits (36) gives a triangular number (779376 = T1248).

The spelling of 28057536 in words is "twenty-eight million, fifty-seven thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 96 104 108 117 144 156 192 208 216 234 288 312 351 416 432 468 576 624 702 832 864 936 1248 1249 1404 1728 1872 2496 2498 2808 3744 3747 4996 5616 7488 7494 9992 11232 11241 14988 16237 19984 22464 22482 29976 32474 33723 39968 44964 48711 59952 64948 67446 79936 89928 97422 119904 129896 134892 146133 179856 194844 239808 259792 269784 292266 359712 389688 438399 519584 539568 584532 719424 779376 876798 1039168 1079136 1169064 1558752 1753596 2158272 2338128 3117504 3507192 4676256 7014384 9352512 14028768 28057536