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28496960 = 2651943109
BaseRepresentation
bin110110010110…
…1010001000000
31222121210110222
41230231101000
524243400320
62454442212
7464135342
oct154552100
958553428
1028496960
11150a4208
129663368
135b99b0b
143adb292
15277d825
hex1b2d440

28496960 has 112 divisors (see below), whose sum is σ = 73761600. Its totient is φ = 10450944.

The previous prime is 28496939. The next prime is 28496983. The reversal of 28496960 is 6969482.

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors.

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, 261386 + ... + 261494.

Almost surely, 228496960 is an apocalyptic number.

28496960 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 28496960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36880800).

28496960 is an abundant number, since it is smaller than the sum of its proper divisors (45264640).

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

28496960 is a wasteful number, since it uses less digits than its factorization.

28496960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 44.

The square root of 28496960 is about 5338.2543963359. The cubic root of 28496960 is about 305.4448761799. Note that the first 3 decimals are identical.

The spelling of 28496960 in words is "twenty-eight million, four hundred ninety-six thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 43 64 76 80 86 95 109 152 160 172 190 215 218 304 320 344 380 430 436 545 608 688 760 817 860 872 1090 1216 1376 1520 1634 1720 1744 2071 2180 2752 3040 3268 3440 3488 4085 4142 4360 4687 6080 6536 6880 6976 8170 8284 8720 9374 10355 13072 13760 16340 16568 17440 18748 20710 23435 26144 32680 33136 34880 37496 41420 46870 52288 65360 66272 74992 82840 89053 93740 130720 132544 149984 165680 178106 187480 261440 299968 331360 356212 374960 445265 662720 712424 749920 890530 1424848 1499840 1781060 2849696 3562120 5699392 7124240 14248480 28496960