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28766112 = 253793793
BaseRepresentation
bin110110110111…
…0111110100000
32000010110200120
41231232332200
524331003422
62504320240
7466336134
oct155567640
960113616
1028766112
1115268451
129773080
135c6248b
143b6b3c4
1527d345c
hex1b6efa0

28766112 has 48 divisors (see below), whose sum is σ = 76487040. Its totient is φ = 9464832.

The previous prime is 28766093. The next prime is 28766117. The reversal of 28766112 is 21166782.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (28766117) 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, 5688 + ... + 9480.

It is an arithmetic number, because the mean of its divisors is an integer number (1593480).

Almost surely, 228766112 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 28766112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38243520).

28766112 is an abundant number, since it is smaller than the sum of its proper divisors (47720928).

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

28766112 is a wasteful number, since it uses less digits than its factorization.

28766112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3885 (or 3877 counting only the distinct ones).

The product of its digits is 8064, while the sum is 33.

The square root of 28766112 is about 5363.4048886878. The cubic root of 28766112 is about 306.4035003361.

The spelling of 28766112 in words is "twenty-eight million, seven hundred sixty-six thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 79 96 158 237 316 474 632 948 1264 1896 2528 3792 3793 7584 7586 11379 15172 22758 30344 45516 60688 91032 121376 182064 299647 364128 599294 898941 1198588 1797882 2397176 3595764 4794352 7191528 9588704 14383056 28766112