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28630896 = 243733747
BaseRepresentation
bin110110100110…
…1111101110000
31222212121012120
41231031331300
524312142041
62501354240
7465234000
oct155157560
958777176
1028630896
11151858a8
129708980
135c15a78
143b34000
1527a8366
hex1b4df70

28630896 has 160 divisors (see below), whose sum is σ = 90470400. Its totient is φ = 7789824.

The previous prime is 28630867. The next prime is 28630939. The reversal of 28630896 is 69803682.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 609145 + ... + 609191.

It is an arithmetic number, because the mean of its divisors is an integer number (565440).

Almost surely, 228630896 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 28630896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45235200).

28630896 is an abundant number, since it is smaller than the sum of its proper divisors (61839504).

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

28630896 is a wasteful number, since it uses less digits than its factorization.

28630896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 28630896 is about 5350.7846153625. The cubic root of 28630896 is about 305.9226597656.

The spelling of 28630896 in words is "twenty-eight million, six hundred thirty thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 37 42 47 48 49 56 74 84 94 98 111 112 141 147 148 168 188 196 222 259 282 294 296 329 336 343 376 392 444 518 564 588 592 658 686 752 777 784 888 987 1029 1036 1128 1176 1316 1372 1554 1739 1776 1813 1974 2058 2072 2256 2303 2352 2632 2744 3108 3478 3626 3948 4116 4144 4606 5217 5264 5439 5488 6216 6909 6956 7252 7896 8232 9212 10434 10878 12173 12432 12691 13818 13912 14504 15792 16121 16464 18424 20868 21756 24346 25382 27636 27824 29008 32242 36519 36848 38073 41736 43512 48363 48692 50764 55272 64484 73038 76146 83472 85211 87024 96726 97384 101528 110544 128968 146076 152292 170422 193452 194768 203056 255633 257936 292152 304584 340844 386904 511266 584304 596477 609168 681688 773808 1022532 1192954 1363376 1789431 2045064 2385908 3578862 4090128 4771816 7157724 9543632 14315448 28630896