Search a number
-
+
28948480 = 211511257
BaseRepresentation
bin110111001101…
…1100000000000
32000110201211221
41232123200000
524402322410
62512244424
7501025621
oct156334000
960421757
1028948480
1115382470
129840714
135cc74a2
143bb7a48
15281c4da
hex1b9b800

28948480 has 96 divisors (see below), whose sum is σ = 76068720. Its totient is φ = 10485760.

The previous prime is 28948477. The next prime is 28948483. The reversal of 28948480 is 8484982.

It is an interprime number because it is at equal distance from previous prime (28948477) and next prime (28948483).

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28948483) 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, 112512 + ... + 112768.

Almost surely, 228948480 is an apocalyptic number.

28948480 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 28948480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38034360).

28948480 is an abundant number, since it is smaller than the sum of its proper divisors (47120240).

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

28948480 is a wasteful number, since it uses less digits than its factorization.

28948480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 43.

The square root of 28948480 is about 5380.3791687947. The cubic root of 28948480 is about 307.0496370631.

The spelling of 28948480 in words is "twenty-eight million, nine hundred forty-eight thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 256 257 320 352 440 512 514 640 704 880 1024 1028 1280 1285 1408 1760 2048 2056 2560 2570 2816 2827 3520 4112 5120 5140 5632 5654 7040 8224 10240 10280 11264 11308 14080 14135 16448 20560 22528 22616 28160 28270 32896 41120 45232 56320 56540 65792 82240 90464 112640 113080 131584 164480 180928 226160 263168 328960 361856 452320 526336 657920 723712 904640 1315840 1447424 1809280 2631680 2894848 3618560 5789696 7237120 14474240 28948480