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28683408 = 24313431069
BaseRepresentation
bin110110101101…
…0110010010000
31222222021020110
41231122302100
524320332113
62502441320
7465543045
oct155326220
958867213
1028683408
11152112a6
129733240
135c33940
143b491cc
1527b8bc3
hex1b5ac90

28683408 has 80 divisors (see below), whose sum is σ = 81730880. Its totient is φ = 8612352.

The previous prime is 28683377. The next prime is 28683409. The reversal of 28683408 is 80438682.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28683409) 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, 26298 + ... + 27366.

It is an arithmetic number, because the mean of its divisors is an integer number (1021636).

Almost surely, 228683408 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 28683408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40865440).

28683408 is an abundant number, since it is smaller than the sum of its proper divisors (53047472).

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

28683408 is a wasteful number, since it uses less digits than its factorization.

28683408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1136 (or 1130 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The square root of 28683408 is about 5355.6893113772. The cubic root of 28683408 is about 306.1095767162.

The spelling of 28683408 in words is "twenty-eight million, six hundred eighty-three thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 43 48 52 78 86 104 129 156 172 208 258 312 344 516 559 624 688 1032 1069 1118 1677 2064 2138 2236 3207 3354 4276 4472 6414 6708 8552 8944 12828 13416 13897 17104 25656 26832 27794 41691 45967 51312 55588 83382 91934 111176 137901 166764 183868 222352 275802 333528 367736 551604 597571 667056 735472 1103208 1195142 1792713 2206416 2390284 3585426 4780568 7170852 9561136 14341704 28683408