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428381280 = 25325297487
BaseRepresentation
bin11001100010001…
…001010001100000
31002212002000122100
4121202021101200
51334131200110
6110301410400
713421116005
oct3142112140
91085060570
10428381280
111aa8a0218
12bb569a00
136a99a862
1440c718ac
152791cbc0
hex19889460

428381280 has 72 divisors (see below), whose sum is σ = 1461856032. Its totient is φ = 114234624.

The previous prime is 428381267. The next prime is 428381293. The reversal of 428381280 is 82183824.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (428381267) and next prime (428381293).

It is a tau number, because it is divible by the number of its divisors (72).

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 11 ways as a sum of consecutive naturals, for example, 147304 + ... + 150183.

It is an arithmetic number, because the mean of its divisors is an integer number (20303556).

Almost surely, 2428381280 is an apocalyptic number.

428381280 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

428381280 is an abundant number, since it is smaller than the sum of its proper divisors (1033474752).

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

428381280 is a wasteful number, since it uses less digits than its factorization.

428381280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297508 (or 297497 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 428381280 is about 20697.3737464443. The cubic root of 428381280 is about 753.8359208342.

The spelling of 428381280 in words is "four hundred twenty-eight million, three hundred eighty-one thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 297487 594974 892461 1189948 1487435 1784922 2379896 2677383 2974870 3569844 4462305 4759792 5354766 5949740 7139688 8924610 9519584 10709532 11899480 13386915 14279376 17849220 21419064 23798960 26773830 28558752 35698440 42838128 47597920 53547660 71396880 85676256 107095320 142793760 214190640 428381280