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28614768 = 2437136551
BaseRepresentation
bin110110100101…
…0000001110000
31222211210002020
41231022001300
524311133033
62501151440
7465135660
oct155120160
958753066
1028614768
1115174776
1296bb580
135c0b620
143b2c1a0
1527a36b3
hex1b4a070

28614768 has 80 divisors (see below), whose sum is σ = 90994176. Its totient is φ = 7545600.

The previous prime is 28614763. The next prime is 28614811. The reversal of 28614768 is 86741682.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28614763) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1093 + ... + 7643.

Almost surely, 228614768 is an apocalyptic number.

28614768 is a gapful number since it is divisible by the number (28) 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 28614768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45497088).

28614768 is an abundant number, since it is smaller than the sum of its proper divisors (62379408).

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

28614768 is a wasteful number, since it uses less digits than its factorization.

28614768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6582 (or 6576 counting only the distinct ones).

The product of its digits is 129024, while the sum is 42.

The square root of 28614768 is about 5349.2773343696. The cubic root of 28614768 is about 305.8652061278.

The spelling of 28614768 in words is "twenty-eight million, six hundred fourteen thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 52 56 78 84 91 104 112 156 168 182 208 273 312 336 364 546 624 728 1092 1456 2184 4368 6551 13102 19653 26204 39306 45857 52408 78612 85163 91714 104816 137571 157224 170326 183428 255489 275142 314448 340652 366856 510978 550284 596141 681304 733712 1021956 1100568 1192282 1362608 1788423 2043912 2201136 2384564 3576846 4087824 4769128 7153692 9538256 14307384 28614768