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28348960 = 2551631087
BaseRepresentation
bin110110000100…
…1001000100000
31222100021110111
41230021020200
524224131320
62451341104
7462651013
oct154111040
958307414
1028348960
1115002aa2
1295b1794
135b47643
143a9d37a
15274ea5a
hex1b09220

28348960 has 48 divisors (see below), whose sum is σ = 67447296. Its totient is φ = 11259648.

The previous prime is 28348939. The next prime is 28348961. The reversal of 28348960 is 6984382.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (28348961) 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, 25537 + ... + 26623.

It is an arithmetic number, because the mean of its divisors is an integer number (1405152).

Almost surely, 228348960 is an apocalyptic number.

28348960 is a gapful number since it is divisible by the number (20) 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 28348960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33723648).

28348960 is an abundant number, since it is smaller than the sum of its proper divisors (39098336).

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

28348960 is a wasteful number, since it uses less digits than its factorization.

28348960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1265 (or 1257 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 40.

The square root of 28348960 is about 5324.3741416245. The cubic root of 28348960 is about 304.9151784196.

The spelling of 28348960 in words is "twenty-eight million, three hundred forty-eight thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 163 326 652 815 1087 1304 1630 2174 2608 3260 4348 5216 5435 6520 8696 10870 13040 17392 21740 26080 34784 43480 86960 173920 177181 354362 708724 885905 1417448 1771810 2834896 3543620 5669792 7087240 14174480 28348960