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428081280 = 27351120269
BaseRepresentation
bin11001100001000…
…000000010000000
31002211111210010020
4121201000002000
51334042100110
6110251133440
713415426244
oct3141000200
91084453106
10428081280
111aa705890
12bb444280
136a8c4143
1440bd4424
15278add70
hex19840080

428081280 has 128 divisors (see below), whose sum is σ = 1488628800. Its totient is φ = 103772160.

The previous prime is 428081257. The next prime is 428081351. The reversal of 428081280 is 82180824.

It is a tau number, because it is divible by the number of its divisors (128).

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

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, 10986 + ... + 31254.

Almost surely, 2428081280 is an apocalyptic number.

428081280 is a gapful number since it is divisible by the number (40) 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 428081280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (744314400).

428081280 is an abundant number, since it is smaller than the sum of its proper divisors (1060547520).

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

428081280 is a wasteful number, since it uses less digits than its factorization.

428081280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20302 (or 20290 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 33.

The square root of 428081280 is about 20690.1251808683. The cubic root of 428081280 is about 753.6599066156.

The spelling of 428081280 in words is "four hundred twenty-eight million, eighty-one thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 128 132 160 165 176 192 220 240 264 320 330 352 384 440 480 528 640 660 704 880 960 1056 1320 1408 1760 1920 2112 2640 3520 4224 5280 7040 10560 20269 21120 40538 60807 81076 101345 121614 162152 202690 222959 243228 304035 324304 405380 445918 486456 608070 648608 668877 810760 891836 972912 1114795 1216140 1297216 1337754 1621520 1783672 1945824 2229590 2432280 2594432 2675508 3243040 3344385 3567344 3891648 4459180 4864560 5351016 6486080 6688770 7134688 7783296 8918360 9729120 10702032 12972160 13377540 14269376 17836720 19458240 21404064 26755080 28538752 35673440 38916480 42808128 53510160 71346880 85616256 107020320 142693760 214040640 428081280