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28769468 = 2273131613
BaseRepresentation
bin110110110111…
…1110010111100
32000010122021212
41231233302330
524331110333
62504343552
7466352000
oct155576274
960118255
1028769468
111526aa22
129774bb8
135c63b70
143b6c700
1527d4448
hex1b6fcbc

28769468 has 48 divisors (see below), whose sum is σ = 63268800. Its totient is φ = 11374272.

The previous prime is 28769467. The next prime is 28769473. The reversal of 28769468 is 86496782.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28769467) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17030 + ... + 18642.

It is an arithmetic number, because the mean of its divisors is an integer number (1318100).

Almost surely, 228769468 is an apocalyptic number.

28769468 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28769468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31634400).

28769468 is an abundant number, since it is smaller than the sum of its proper divisors (34499332).

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

28769468 is a wasteful number, since it uses less digits than its factorization.

28769468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1651 (or 1635 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 50.

The square root of 28769468 is about 5363.7177405229. The cubic root of 28769468 is about 306.4154153997.

The spelling of 28769468 in words is "twenty-eight million, seven hundred sixty-nine thousand, four hundred sixty-eight".

Divisors: 1 2 4 7 13 14 26 28 49 52 91 98 182 196 343 364 637 686 1274 1372 1613 2548 3226 4459 6452 8918 11291 17836 20969 22582 41938 45164 79037 83876 146783 158074 293566 316148 553259 587132 1027481 1106518 2054962 2213036 4109924 7192367 14384734 28769468