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428615280 = 24335613253
BaseRepresentation
bin11001100011000…
…010011001110000
31002212111220122000
4121203002121300
51334211142110
6110310414000
713423112142
oct3143023160
91085456560
10428615280
111aaa40005
12bb661300
136aa50212
1440cd2c92
15279671c0
hex198c2670

428615280 has 160 divisors (see below), whose sum is σ = 1501005120. Its totient is φ = 112389120.

The previous prime is 428615279. The next prime is 428615303. The reversal of 428615280 is 82516824.

428615280 is a `hidden beast` number, since 428 + 6 + 152 + 80 = 666.

It is a super-2 number, since 2×4286152802 = 367422116498956800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 130134 + ... + 133386.

It is an arithmetic number, because the mean of its divisors is an integer number (9381282).

Almost surely, 2428615280 is an apocalyptic number.

428615280 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 428615280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (750502560).

428615280 is an abundant number, since it is smaller than the sum of its proper divisors (1072389840).

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

428615280 is a wasteful number, since it uses less digits than its factorization.

428615280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3336 (or 3324 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 428615280 is about 20703.0258658004. The cubic root of 428615280 is about 753.9731548862.

The spelling of 428615280 in words is "four hundred twenty-eight million, six hundred fifteen thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 61 72 80 90 108 120 122 135 144 180 183 216 240 244 270 305 360 366 432 488 540 549 610 720 732 915 976 1080 1098 1220 1464 1647 1830 2160 2196 2440 2745 2928 3253 3294 3660 4392 4880 5490 6506 6588 7320 8235 8784 9759 10980 13012 13176 14640 16265 16470 19518 21960 26024 26352 29277 32530 32940 39036 43920 48795 52048 58554 65060 65880 78072 87831 97590 117108 130120 131760 146385 156144 175662 195180 198433 234216 260240 292770 351324 390360 396866 439155 468432 585540 595299 702648 780720 793732 878310 992165 1171080 1190598 1405296 1587464 1756620 1785897 1984330 2342160 2381196 2976495 3174928 3513240 3571794 3968660 4762392 5357691 5952990 7026480 7143588 7937320 8929485 9524784 10715382 11905980 14287176 15874640 17858970 21430764 23811960 26788455 28574352 35717940 42861528 47623920 53576910 71435880 85723056 107153820 142871760 214307640 428615280