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28767424 = 267157409
BaseRepresentation
bin110110110111…
…1010011000000
32000010112111011
41231233103000
524331024144
62504330304
7466343020
oct155572300
960115434
1028767424
1115269434
129773994
135c62c5a
143b6ba80
1527d3a34
hex1b6f4c0

28767424 has 56 divisors (see below), whose sum is σ = 65816480. Its totient is φ = 12220416.

The previous prime is 28767421. The next prime is 28767437. The reversal of 28767424 is 42476782.

It is a tau number, because it is divible by the number of its divisors (56).

It is not an unprimeable number, because it can be changed into a prime (28767421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 70132 + ... + 70540.

Almost surely, 228767424 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 28767424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32908240).

28767424 is an abundant number, since it is smaller than the sum of its proper divisors (37049056).

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

28767424 is a wasteful number, since it uses less digits than its factorization.

28767424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 585 (or 575 counting only the distinct ones).

The product of its digits is 150528, while the sum is 40.

The square root of 28767424 is about 5363.5271976564. The cubic root of 28767424 is about 306.4081585404.

The spelling of 28767424 in words is "twenty-eight million, seven hundred sixty-seven thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 157 224 314 409 448 628 818 1099 1256 1636 2198 2512 2863 3272 4396 5024 5726 6544 8792 10048 11452 13088 17584 22904 26176 35168 45808 64213 70336 91616 128426 183232 256852 449491 513704 898982 1027408 1797964 2054816 3595928 4109632 7191856 14383712 28767424