1728098496 has 112 divisors (see below), whose sum is σ = 5176418400. Its totient is φ = 565134336.

The previous prime is 1728098479. The next prime is 1728098527. The reversal of 1728098496 is 6948908271.

1728098496 is a `hidden beast` number, since 1 + 72 + 80 + 9 + 8 + 496 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82150 + ... + 101018.

Almost surely, 2^1728098496 is an apocalyptic number.

1728098496 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 1728098496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2588209200).

1728098496 is an abundant number, since it is smaller than the sum of its proper divisors (3448319904).

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

1728098496 is a wasteful number, since it uses less digits than its factorization.

1728098496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18943 (or 18927 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The square root of 1728098496 is about 41570.4040875236. The cubic root of 1728098496 is about 1200.0227995668.

The spelling of 1728098496 in words is "one billion, seven hundred twenty-eight million, ninety-eight thousand, four hundred ninety-six".