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28820736 = 283271787
BaseRepresentation
bin110110111110…
…0010100000000
32000020020121200
41231330110000
524334230421
62505421200
7466654320
oct155742400
960206550
1028820736
11152a549a
12979a800
135c812b9
143b83280
1527e4726
hex1b7c500

28820736 has 108 divisors (see below), whose sum is σ = 95021472. Its totient is φ = 8229888.

The previous prime is 28820723. The next prime is 28820741. The reversal of 28820736 is 63702882.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 28820736.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15235 + ... + 17021.

Almost surely, 228820736 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 28820736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47510736).

28820736 is an abundant number, since it is smaller than the sum of its proper divisors (66200736).

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

28820736 is a wasteful number, since it uses less digits than its factorization.

28820736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1816 (or 1799 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 28820736 is about 5368.4947611039. The cubic root of 28820736 is about 306.5973210142.

The spelling of 28820736 in words is "twenty-eight million, eight hundred twenty thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 256 288 336 384 448 504 576 672 768 896 1008 1152 1344 1787 1792 2016 2304 2688 3574 4032 5361 5376 7148 8064 10722 12509 14296 16083 16128 21444 25018 28592 32166 37527 42888 50036 57184 64332 75054 85776 100072 112581 114368 128664 150108 171552 200144 225162 228736 257328 300216 343104 400288 450324 457472 514656 600432 686208 800576 900648 1029312 1200864 1372416 1601152 1801296 2058624 2401728 3202304 3602592 4117248 4803456 7205184 9606912 14410368 28820736