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28682420 = 225131071031
BaseRepresentation
bin110110101101…
…0100010110100
31222222012212212
41231122202310
524320314140
62502432552
7465540134
oct155324264
958865785
1028682420
1115210588
129732758
135c33360
143b48ac4
1527b8765
hex1b5a8b4

28682420 has 48 divisors (see below), whose sum is σ = 65536128. Its totient is φ = 10481280.

The previous prime is 28682413. The next prime is 28682431. The reversal of 28682420 is 2428682.

It is a happy number.

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 15 ways as a sum of consecutive naturals, for example, 27305 + ... + 28335.

It is an arithmetic number, because the mean of its divisors is an integer number (1365336).

Almost surely, 228682420 is an apocalyptic number.

28682420 is a gapful number since it is divisible by the number (20) 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 28682420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32768064).

28682420 is an abundant number, since it is smaller than the sum of its proper divisors (36853708).

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

28682420 is a wasteful number, since it uses less digits than its factorization.

28682420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1160 (or 1158 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

The square root of 28682420 is about 5355.5970722227. The cubic root of 28682420 is about 306.1060620277.

The spelling of 28682420 in words is "twenty-eight million, six hundred eighty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 107 130 214 260 428 535 1031 1070 1391 2062 2140 2782 4124 5155 5564 6955 10310 13403 13910 20620 26806 27820 53612 67015 110317 134030 220634 268060 441268 551585 1103170 1434121 2206340 2868242 5736484 7170605 14341210 28682420