1728126400 has 504 divisors, whose sum is σ = 5809878144. Its totient is φ = 491212800.

The previous prime is 1728126397. The next prime is 1728126419. The reversal of 1728126400 is 46218271.

1728126400 = T₁₇₉ + T₁₈₀ + ... + T₂₁₈₀.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 20820759 + ... + 20820841.

It is an arithmetic number, because the mean of its divisors is an integer number (11527536).

Almost surely, 2^1728126400 is an apocalyptic number.

1728126400 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 1728126400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2904939072).

1728126400 is an abundant number, since it is smaller than the sum of its proper divisors (4081751744).

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

1728126400 is a wasteful number, since it uses less digits than its factorization.

1728126400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 31.

The square root of 1728126400 is about 41570.7397095601. The cubic root of 1728126400 is about 1200.0292585459.

It can be divided in two parts, 17281 and 26400, that added together give a square (43681 = 209²).

The spelling of 1728126400 in words is "one billion, seven hundred twenty-eight million, one hundred twenty-six thousand, four hundred".