Search a number
-
+
28302648 = 23311472281
BaseRepresentation
bin110101111110…
…1110100111000
31222020220221020
41223331310320
524221141043
62450342440
7462366003
oct153756470
958226836
1028302648
1114a81220
12958aa20
135b2c53a
143a8a53a
152740e83
hex1afdd38

28302648 has 64 divisors (see below), whose sum is σ = 78865920. Its totient is φ = 8390400.

The previous prime is 28302607. The next prime is 28302653. The reversal of 28302648 is 84620382.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11268 + ... + 13548.

It is an arithmetic number, because the mean of its divisors is an integer number (1232280).

Almost surely, 228302648 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 28302648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39432960).

28302648 is an abundant number, since it is smaller than the sum of its proper divisors (50563272).

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

28302648 is a wasteful number, since it uses less digits than its factorization.

28302648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2348 (or 2344 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 28302648 is about 5320.0233082196. The cubic root of 28302648 is about 304.7490473587.

The spelling of 28302648 in words is "twenty-eight million, three hundred two thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 47 66 88 94 132 141 188 264 282 376 517 564 1034 1128 1551 2068 2281 3102 4136 4562 6204 6843 9124 12408 13686 18248 25091 27372 50182 54744 75273 100364 107207 150546 200728 214414 301092 321621 428828 602184 643242 857656 1179277 1286484 2358554 2572968 3537831 4717108 7075662 9434216 14151324 28302648