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28180480 = 217543
BaseRepresentation
bin110101110000…
…0000000000000
31222000201100111
41223200000000
524203233410
62444001104
7461346556
oct153400000
958021314
1028180480
11149a8459
129530194
135ab8a53
143a57bd6
152719b8a
hex1ae0000

28180480 has 72 divisors (see below), whose sum is σ = 69205752. Its totient is φ = 11010048.

The previous prime is 28180459. The next prime is 28180487. The reversal of 28180480 is 8408182.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28180487) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 655339 + ... + 655381.

It is an arithmetic number, because the mean of its divisors is an integer number (961191).

Almost surely, 228180480 is an apocalyptic number.

28180480 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 28180480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34602876).

28180480 is an abundant number, since it is smaller than the sum of its proper divisors (41025272).

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

28180480 is an frugal number, since it uses more digits than its factorization.

28180480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 31.

The square root of 28180480 is about 5308.5289864519. The cubic root of 28180480 is about 304.3099332179.

The spelling of 28180480 in words is "twenty-eight million, one hundred eighty thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 43 64 80 86 128 160 172 215 256 320 344 430 512 640 688 860 1024 1280 1376 1720 2048 2560 2752 3440 4096 5120 5504 6880 8192 10240 11008 13760 16384 20480 22016 27520 32768 40960 44032 55040 65536 81920 88064 110080 131072 163840 176128 220160 327680 352256 440320 655360 704512 880640 1409024 1761280 2818048 3522560 5636096 7045120 14090240 28180480