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28613844 = 2233725407
BaseRepresentation
bin110110100100…
…1110011010100
31222211201211000
41231021303110
524311120334
62501143300
7465133200
oct155116324
958751730
1028613844
1115174006
1296bab30
135c0b08c
143b2bb00
1527a3299
hex1b49cd4

28613844 has 72 divisors (see below), whose sum is σ = 86311680. Its totient is φ = 8173872.

The previous prime is 28613831. The next prime is 28613857. The reversal of 28613844 is 44831682.

It is an interprime number because it is at equal distance from previous prime (28613831) and next prime (28613857).

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

It is a junction number, because it is equal to n+sod(n) for n = 28613799 and 28613808.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2589 + ... + 7995.

Almost surely, 228613844 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 28613844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43155840).

28613844 is an abundant number, since it is smaller than the sum of its proper divisors (57697836).

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

28613844 is a wasteful number, since it uses less digits than its factorization.

28613844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5434 (or 5419 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 28613844 is about 5349.1909668659. The cubic root of 28613844 is about 305.8619138594.

The spelling of 28613844 in words is "twenty-eight million, six hundred thirteen thousand, eight hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 84 98 108 126 147 189 196 252 294 378 441 588 756 882 1323 1764 2646 5292 5407 10814 16221 21628 32442 37849 48663 64884 75698 97326 113547 145989 151396 194652 227094 264943 291978 340641 454188 529886 583956 681282 794829 1021923 1059772 1362564 1589658 2043846 2384487 3179316 4087692 4768974 7153461 9537948 14306922 28613844