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28382700 = 22352372557
BaseRepresentation
bin110110001000…
…1010111101100
31222101222202010
41230101113230
524231221300
62452201220
7463151253
oct154212754
958358663
1028382700
1115026385
129609210
135b59ac8
143aab79a
152759a50
hex1b115ec

28382700 has 72 divisors (see below), whose sum is σ = 84373072. Its totient is φ = 7361280.

The previous prime is 28382699. The next prime is 28382729. The reversal of 28382700 is 728382.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 9822 + ... + 12378.

Almost surely, 228382700 is an apocalyptic number.

28382700 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 28382700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42186536).

28382700 is an abundant number, since it is smaller than the sum of its proper divisors (55990372).

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

28382700 is a wasteful number, since it uses less digits than its factorization.

28382700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2611 (or 2604 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 28382700 is about 5327.5416469512. The cubic root of 28382700 is about 305.0360971341.

The spelling of 28382700 in words is "twenty-eight million, three hundred eighty-two thousand, seven hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 37 50 60 74 75 100 111 148 150 185 222 300 370 444 555 740 925 1110 1850 2220 2557 2775 3700 5114 5550 7671 10228 11100 12785 15342 25570 30684 38355 51140 63925 76710 94609 127850 153420 189218 191775 255700 283827 378436 383550 473045 567654 767100 946090 1135308 1419135 1892180 2365225 2838270 4730450 5676540 7095675 9460900 14191350 28382700