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28416128 = 271317077
BaseRepresentation
bin110110001100…
…1100010000000
31222110200121012
41230121202000
524233304003
62453020052
7463350566
oct154314200
958420535
1028416128
1115049504
129624628
135b6c0a0
143ab9a36
1527648d8
hex1b19880

28416128 has 32 divisors (see below), whose sum is σ = 60968460. Its totient is φ = 13114368.

The previous prime is 28416121. The next prime is 28416133. The reversal of 28416128 is 82161482.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 26956864 + 1459264 = 5192^2 + 1208^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 28416094 and 28416103.

It is not an unprimeable number, because it can be changed into a prime (28416121) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6875 + ... + 10202.

Almost surely, 228416128 is an apocalyptic number.

It is an amenable number.

28416128 is an abundant number, since it is smaller than the sum of its proper divisors (32552332).

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

28416128 is a wasteful number, since it uses less digits than its factorization.

28416128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17104 (or 17092 counting only the distinct ones).

The product of its digits is 6144, while the sum is 32.

The square root of 28416128 is about 5330.6780056574. The cubic root of 28416128 is about 305.1558032246.

The spelling of 28416128 in words is "twenty-eight million, four hundred sixteen thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 416 832 1664 17077 34154 68308 136616 222001 273232 444002 546464 888004 1092928 1776008 2185856 3552016 7104032 14208064 28416128