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28238976 = 27338171
BaseRepresentation
bin110101110111…
…0010010000000
31222010200121000
41223232102000
524212121401
62445132000
7462012243
oct153562200
958120530
1028238976
1114a383a7
12955a000
135b0956c
143a7125a
15272c186
hex1aee480

28238976 has 64 divisors (see below), whose sum is σ = 83354400. Its totient is φ = 9411840.

The previous prime is 28238971. The next prime is 28238999. The reversal of 28238976 is 67983282.

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

It is not an unprimeable number, because it can be changed into a prime (28238971) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 630 + ... + 7541.

Almost surely, 228238976 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 28238976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41677200).

28238976 is an abundant number, since it is smaller than the sum of its proper divisors (55115424).

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

28238976 is an equidigital number, since it uses as much as digits as its factorization.

28238976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8194 (or 8176 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 28238976 is about 5314.0357544902. The cubic root of 28238976 is about 304.5203461374.

The spelling of 28238976 in words is "twenty-eight million, two hundred thirty-eight thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 576 864 1152 1728 3456 8171 16342 24513 32684 49026 65368 73539 98052 130736 147078 196104 220617 261472 294156 392208 441234 522944 588312 784416 882468 1045888 1176624 1568832 1764936 2353248 3137664 3529872 4706496 7059744 9412992 14119488 28238976