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728522080 = 2551113171873
BaseRepresentation
bin101011011011000…
…101110101100000
31212202211202102021
4223123011311200
52443000201310
6200142431224
724024223036
oct5333056540
91782752367
10728522080
11344260470
12183b92514
13b7c17770
146ca80556
1543e585da
hex2b6c5d60

728522080 has 192 divisors, whose sum is σ = 2142116928. Its totient is φ = 230031360.

The previous prime is 728522077. The next prime is 728522083. The reversal of 728522080 is 80225827.

728522080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (728522077) and next prime (728522083).

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (728522083) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 388024 + ... + 389896.

It is an arithmetic number, because the mean of its divisors is an integer number (11156859).

Almost surely, 2728522080 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 728522080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1071058464).

728522080 is an abundant number, since it is smaller than the sum of its proper divisors (1413594848).

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

728522080 is a wasteful number, since it uses less digits than its factorization.

728522080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1929 (or 1921 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 34.

The square root of 728522080 is about 26991.1481786159. The cubic root of 728522080 is about 899.8032821083.

The spelling of 728522080 in words is "seven hundred twenty-eight million, five hundred twenty-two thousand, eighty".