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428359680 = 214325783
BaseRepresentation
bin11001100010000…
…100000000000000
31002212000221000100
4121202010000000
51334130002210
6110301122400
713420666020
oct3142040000
91085027010
10428359680
111aa885a71
12bb559400
136a990a88
1440c67a80
15279165c0
hex19884000

428359680 has 360 divisors, whose sum is σ = 1717515072. Its totient is φ = 96731136.

The previous prime is 428359637. The next prime is 428359691. The reversal of 428359680 is 86953824.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5160919 + ... + 5161001.

Almost surely, 2428359680 is an apocalyptic number.

428359680 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 428359680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (858757536).

428359680 is an abundant number, since it is smaller than the sum of its proper divisors (1289155392).

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

428359680 is an equidigital number, since it uses as much as digits as its factorization.

428359680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 428359680 is about 20696.8519345334. The cubic root of 428359680 is about 753.8232505563.

The spelling of 428359680 in words is "four hundred twenty-eight million, three hundred fifty-nine thousand, six hundred eighty".