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28345728 = 27397761
BaseRepresentation
bin110110000100…
…0010110000000
31222100010000210
41230020112000
524224030403
62451314120
7462635415
oct154102600
958303023
1028345728
1115000624
1295ab940
135b46028
143a9c10c
15274db03
hex1b08580

28345728 has 64 divisors (see below), whose sum is σ = 76169520. Its totient is φ = 9338880.

The previous prime is 28345727. The next prime is 28345741. The reversal of 28345728 is 82754382.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28345721) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36868 + ... + 37628.

Almost surely, 228345728 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 28345728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38084760).

28345728 is an abundant number, since it is smaller than the sum of its proper divisors (47823792).

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

28345728 is an equidigital number, since it uses as much as digits as its factorization.

28345728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 875 (or 863 counting only the distinct ones).

The product of its digits is 107520, while the sum is 39.

The square root of 28345728 is about 5324.0706231229. The cubic root of 28345728 is about 304.9035904189.

The spelling of 28345728 in words is "twenty-eight million, three hundred forty-five thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 97 128 192 194 291 384 388 582 761 776 1164 1522 1552 2283 2328 3044 3104 4566 4656 6088 6208 9132 9312 12176 12416 18264 18624 24352 36528 37248 48704 73056 73817 97408 146112 147634 221451 292224 295268 442902 590536 885804 1181072 1771608 2362144 3543216 4724288 7086432 9448576 14172864 28345728