1728737280 has 312 divisors, whose sum is σ = 6118087248. Its totient is φ = 451411968.

The previous prime is 1728737279. The next prime is 1728737281. The reversal of 1728737280 is 827378271.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1728737279) and next prime (1728737281).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1728737281) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15298504 + ... + 15298616.

It is an arithmetic number, because the mean of its divisors is an integer number (19609254).

Almost surely, 2^1728737280 is an apocalyptic number.

1728737280 is a gapful number since it is divisible by the number (10) 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 1728737280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3059043624).

1728737280 is an abundant number, since it is smaller than the sum of its proper divisors (4389349968).

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

1728737280 is a wasteful number, since it uses less digits than its factorization.

1728737280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 263424, while the sum is 45.

The square root of 1728737280 is about 41578.0865360589. The cubic root of 1728737280 is about 1200.1706423998.

The spelling of 1728737280 in words is "one billion, seven hundred twenty-eight million, seven hundred thirty-seven thousand, two hundred eighty".