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28057752 = 233617283
BaseRepresentation
bin110101100001…
…0000010011000
31221210111000000
41223002002120
524140322002
62441213000
7460326012
oct153020230
957714000
1028057752
1114924228
129491160
135a74c28
143a251b2
1526e361c
hex1ac2098

28057752 has 112 divisors (see below), whose sum is σ = 83811240. Its totient is φ = 8771328.

The previous prime is 28057751. The next prime is 28057753. The reversal of 28057752 is 25775082.

28057752 is a `hidden beast` number, since 2 + 80 + 577 + 5 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (28057751) and next prime (28057753).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28057751) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 99003 + ... + 99285.

Almost surely, 228057752 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 28057752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41905620).

28057752 is an abundant number, since it is smaller than the sum of its proper divisors (55753488).

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

28057752 is a wasteful number, since it uses less digits than its factorization.

28057752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 39200, while the sum is 36.

The square root of 28057752 is about 5296.9568621993. The cubic root of 28057752 is about 303.8675265374.

The spelling of 28057752 in words is "twenty-eight million, fifty-seven thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 81 102 108 136 153 162 204 216 243 283 306 324 408 459 486 566 612 648 729 849 918 972 1132 1224 1377 1458 1698 1836 1944 2264 2547 2754 2916 3396 3672 4131 4811 5094 5508 5832 6792 7641 8262 9622 10188 11016 12393 14433 15282 16524 19244 20376 22923 24786 28866 30564 33048 38488 43299 45846 49572 57732 61128 68769 86598 91692 99144 115464 129897 137538 173196 183384 206307 259794 275076 346392 389691 412614 519588 550152 779382 825228 1039176 1169073 1558764 1650456 2338146 3117528 3507219 4676292 7014438 9352584 14028876 28057752