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428863480080 = 243572416131451
BaseRepresentation
bin1100011110110100100…
…00010110000100010000
31111222222020022002010120
412033122100112010100
524011303022330310
6525003412430240
742661431301500
oct6173220260420
91458866262116
10428863480080
11155975288172
126b149618380
1331598406c39
1416a856c3a00
15b250875b70
hex63da416110

428863480080 has 480 divisors, whose sum is σ = 1587932615808. Its totient is φ = 95413248000.

The previous prime is 428863480069. The next prime is 428863480081. The reversal of 428863480080 is 80084368824.

It is not an unprimeable number, because it can be changed into a prime (428863480081) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 295563355 + ... + 295564805.

Almost surely, 2428863480080 is an apocalyptic number.

428863480080 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 428863480080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (793966307904).

428863480080 is an abundant number, since it is smaller than the sum of its proper divisors (1159069135728).

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

428863480080 is a wasteful number, since it uses less digits than its factorization.

428863480080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2135 (or 2122 counting only the distinct ones).

The product of its (nonzero) digits is 2359296, while the sum is 51.

The spelling of 428863480080 in words is "four hundred twenty-eight billion, eight hundred sixty-three million, four hundred eighty thousand, eighty".