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1728197856 = 253472111237
BaseRepresentation
bin110011100000010…
…0011010011100000
311110102220112210000
41213000203103200
512014404312411
6443253140000
760553303500
oct14700432340
94412815700
101728197856
118075826a0
1240292a600
132170701a8
14125745a00
15a1ac3956
hex670234e0

1728197856 has 360 divisors, whose sum is σ = 6455095416. Its totient is φ = 448519680.

The previous prime is 1728197833. The next prime is 1728197927. The reversal of 1728197856 is 6587918271.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (1693440) is a multiple of the sum of its prime divisors (1260).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1396470 + ... + 1397706.

Almost surely, 21728197856 is an apocalyptic number.

1728197856 is a gapful number since it is divisible by the number (16) 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 1728197856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3227547708).

1728197856 is an abundant number, since it is smaller than the sum of its proper divisors (4726897560).

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

1728197856 is a wasteful number, since it uses less digits than its factorization.

1728197856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1284 (or 1260 counting only the distinct ones).

The product of its digits is 1693440, while the sum is 54.

The square root of 1728197856 is about 41571.5991513437. The cubic root of 1728197856 is about 1200.0457982521.

The spelling of 1728197856 in words is "one billion, seven hundred twenty-eight million, one hundred ninety-seven thousand, eight hundred fifty-six".