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489328128 = 29371923
BaseRepresentation
bin11101001010101…
…000111000000000
31021002202110000000
4131022220320000
52000232000003
6120320000000
715061135422
oct3512507000
91232673000
10489328128
11231238513
12117a60000
137a4b9793
1448db8812
152ce5b1a3
hex1d2a8e00

489328128 has 320 divisors, whose sum is σ = 1610611200. Its totient is φ = 147806208.

The previous prime is 489328127. The next prime is 489328181. The reversal of 489328128 is 821823984.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (489328121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21275125 + ... + 21275147.

It is an arithmetic number, because the mean of its divisors is an integer number (5033160).

Almost surely, 2489328128 is an apocalyptic number.

489328128 is a gapful number since it is divisible by the number (48) 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 489328128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (805305600).

489328128 is an abundant number, since it is smaller than the sum of its proper divisors (1121283072).

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

489328128 is an frugal number, since it uses more digits than its factorization.

489328128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 47 counting only the distinct ones).

The product of its digits is 221184, while the sum is 45.

The square root of 489328128 is about 22120.7623738424. The cubic root of 489328128 is about 788.0130208195.

The spelling of 489328128 in words is "four hundred eighty-nine million, three hundred twenty-eight thousand, one hundred twenty-eight".